CALCULUS+ITS APPL.,BRIEF-MYLAB MATH
CALCULUS+ITS APPL.,BRIEF-MYLAB MATH
15th Edition
ISBN: 9780137638826
Author: Goldstein
Publisher: PEARSON
bartleby

Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
bartleby

Videos

Textbook Question
Book Icon
Chapter 2.2, Problem 27E

27.

Exercises 25 − 36 refer to Fig. 23 , which contains the graph of f   '   ( x ) the derivative of function f   ( x ) .

Chapter 2.2, Problem 27E, 27. Exercises 2536 refer to Fig. 23, which contains the graph of f(x) the derivative of function

Explain why f   ( x ) has a relative maximum at x = 3 .

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 2.2, Problem 26E
Next
Chapter 2.2, Problem 28E
Students have asked these similar questions
a -> f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem) Muslim_maths
Use Green's Theorem to evaluate F. dr, where F = (√+4y, 2x + √√) and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to (0,0).
Evaluate F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line π 1 1 segment starting at the point (8, ' and ending at the point (3, 2 3'6

Chapter 2 Solutions

CALCULUS+ITS APPL.,BRIEF-MYLAB MATH

Ch. 2.1 - Does the slope of the curve in Fig. 17 increases...Ch. 2.1 - At which labelled point on the graph in Fig. 18 is...Ch. 2.1 - Exercises 1-4 refer to graphs (a)-(f) in Fig.19...Ch. 2.1 - Exercises 1-4 refer to graphs (a)-(f) in Fig.19...Ch. 2.1 - Exercises 1-4 refer to graphs (a)-(f) in Fig.19...Ch. 2.1 - Exercises 1-4 refer to graphs (a)-(f) in Fig.19...Ch. 2.1 - Describe each of the following graphs. Your...Ch. 2.1 - Describe each of the following graphs. Your...Ch. 2.1 - Describe each of the following graphs. Your...Ch. 2.1 - Describe each of the following graphs. Your...
Ch. 2.1 - Describe each of the following graphs. Your...Ch. 2.1 - Prob. 10ECh. 2.1 - Describe each of the following graphs. Your...Ch. 2.1 - Prob. 12ECh. 2.1 - Describe the way the slope changes as you move...Ch. 2.1 - Prob. 14ECh. 2.1 - Describe the way the slope changes on the graph in...Ch. 2.1 - Prob. 16ECh. 2.1 - Exercise 17 and 18 refer to the graph in Fig 20....Ch. 2.1 - Exercise 17 and 18 refer to the graph in Fig 20....Ch. 2.1 - Prob. 19ECh. 2.1 - In Exercises 19-22, draw the graph of a function...Ch. 2.1 - In Exercises 19-22, draw the graph of a function...Ch. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - A Patients Temperature At noon, a childs...Ch. 2.1 - Prob. 26ECh. 2.1 - Blood Flow through the Brain One method of...Ch. 2.1 - Pollution Suppose that some organic waste products...Ch. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Let P(t) be the population of a bacteria culture...Ch. 2.1 - In Exercises 3336, sketch the graph of a function...Ch. 2.1 - In Exercises 3336, sketch the graph of a function...Ch. 2.1 - In Exercises 3336, sketch the graph of a function...Ch. 2.1 - In Exercises 3336, sketch the graph of a function...Ch. 2.1 - Consider a smooth curve with no undefined points....Ch. 2.1 - If the function f(x) has a relative minimum at x=a...Ch. 2.1 - Technology Exercises Graph the function...Ch. 2.1 - Prob. 40ECh. 2.1 - Technology Exercises Simultaneously graph the...Ch. 2.2 - Make a good sketch of the function f(x) near the...Ch. 2.2 - The graph of f(x)=x3 is shown in Fig. 15. Is the...Ch. 2.2 - The graph of y=f(x) is shown in Fig. 16. Explain...Ch. 2.2 - Exercises 14 refer to the functions whose graphs...Ch. 2.2 - Exercises 14 refer to the functions whose graphs...Ch. 2.2 - Exercises 14 refer to the functions whose graphs...Ch. 2.2 - Exercises 14 refer to the functions whose graphs...Ch. 2.2 - Which one of the graph in Fig. 18 could represent...Ch. 2.2 - Which one of the graphs in Fig. 18 could represent...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 712, sketch the graph of a function...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - In Exercises 1318, use the given information to...Ch. 2.2 - Refer to the graph in Fig. 19. Fill in each box of...Ch. 2.2 - The first and second derivatives of the function...Ch. 2.2 - Suppose that Fig. 20 contains the graph of y=s(t),...Ch. 2.2 - Suppose that Fig. 20 contains the graph of y=v(t),...Ch. 2.2 - 23. Refer to figure 21, Looking at the graph f(x),...Ch. 2.2 - In figure 22, the t axis represent the time in...Ch. 2.2 - 25. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 26. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 27. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 28. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 29. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 30. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 31. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - Prob. 32ECh. 2.2 - 33. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 34. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - 35. Exercises 2536 refer to Fig. 23, which...Ch. 2.2 - Prob. 36ECh. 2.2 - 37. Level of Water from Melting Snow Melting snow...Ch. 2.2 - 38. Changes in Temperature T(t) is the temperature...Ch. 2.2 - Prob. 39ECh. 2.2 - Prob. 40ECh. 2.2 - Prob. 41ECh. 2.2 - 42. Match each observation (a)(e) with a...Ch. 2.2 - Prob. 43ECh. 2.2 - Drug Diffusion in the Bloodstream After a drug is...Ch. 2.2 - Prob. 45ECh. 2.2 - Prob. 46ECh. 2.3 - Which of the curves in Fig.15 could possibly be...Ch. 2.3 - Which of the curves in Fig.16 could be the graph...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Prob. 14ECh. 2.3 - Prob. 15ECh. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Each of the graphs of the functions in Exercises...Ch. 2.3 - Prob. 24ECh. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Sketch the following curves, indicating all...Ch. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Let a,b,c,d be fixed numbers with a0, and let...Ch. 2.3 - The graph of each function in Exercises 35 40 has...Ch. 2.3 - Prob. 36ECh. 2.3 - The graph of each function in Exercises 35 40 has...Ch. 2.3 - The graph of each function in Exercises 35 40 has...Ch. 2.3 - The graph of each function in Exercises 35 40 has...Ch. 2.3 - The graph of each function in Exercises 35 40 has...Ch. 2.3 - In Exercises 41 and 42, determine which function...Ch. 2.3 - In Exercises 41 and 42, determine which function...Ch. 2.3 - Consider the graph of g(x) in Fig. 17. a. If g(x)...Ch. 2.3 - U. S. Population The population (in millions) of...Ch. 2.3 - Index-Fund Fees When a mutual fund company charges...Ch. 2.3 - Prob. 46ECh. 2.3 - Technology Exercises Draw the graph of...Ch. 2.3 - Technology Exercises Draw the graph of...Ch. 2.3 - Technology Exercises Draw the graph of...Ch. 2.3 - Technology Exercises Draw the graph of...Ch. 2.4 - Determine whether each of the following functions...Ch. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Find the x intercepts of the given function....Ch. 2.4 - Prob. 2ECh. 2.4 - Find the x intercepts of the given function....Ch. 2.4 - Prob. 4ECh. 2.4 - Find the x intercepts of the given function....Ch. 2.4 - Find the x intercepts of the given function....Ch. 2.4 - Show that the function f(x)=13x32x2+5x has no...Ch. 2.4 - Prob. 8ECh. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Prob. 14ECh. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Prob. 16ECh. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Prob. 18ECh. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Sketch the graphs of the following functions....Ch. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Sketch the graphs of the following functions for...Ch. 2.4 - Prob. 24ECh. 2.4 - Sketch the graphs of the following functions for...Ch. 2.4 - Prob. 26ECh. 2.4 - Sketch the graphs of the following functions for...Ch. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Find the quadratic function f(x)=ax2+bx+c that...Ch. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Technology Exercises Height of Tropical Grass The...Ch. 2.5 - Volume A canvas wind shelter for the beach has a...Ch. 2.5 - Prob. 2CYUCh. 2.5 - For what x does the function g(x)=10+40xx2 have...Ch. 2.5 - Find the maximum value of the function f(x)=12xx2,...Ch. 2.5 - Find the minimum value of f(t)=t36t2+40, t0 and...Ch. 2.5 - For what t does the function f(t)=t2-24t have its...Ch. 2.5 - Optimization with Constraint Find the maximum of...Ch. 2.5 - Optimization with Constraint Find two positive...Ch. 2.5 - Optimization with Constraint Find the minimum of...Ch. 2.5 - In Exercise 7, can there be a maximum for Q=x2+y2...Ch. 2.5 - Minimizing a Sum Find the positive values of x and...Ch. 2.5 - Maximizing a Product Find the positive values of...Ch. 2.5 - Area There are 320 available to fence in a...Ch. 2.5 - Volume Figure 12 (b) shows an open rectangular box...Ch. 2.5 - Volume Postal requirements specify that parcels...Ch. 2.5 - Perimeter Consider the problem of finding the...Ch. 2.5 - Cost A rectangular garden of area 75 square feet...Ch. 2.5 - Cost A closed rectangular box with a square base...Ch. 2.5 - Surface Area Find the dimensions of the closed...Ch. 2.5 - Volume A canvas wind shelter for the beach has a...Ch. 2.5 - Area A farmer has 1500 available to build an...Ch. 2.5 - Area Find the dimensions of the rectangular garden...Ch. 2.5 - Maximizing a Product Find two positive numbers,...Ch. 2.5 - Minimizing a Sum Find two positive numbers, xandy,...Ch. 2.5 - Area Figure 140 (a) shows a Norman window, which...Ch. 2.5 - Surface Area A large soup can is to be designed so...Ch. 2.5 - In Example 3 we can solve the constraint equation...Ch. 2.5 - Cost A ship uses 5x2 dollars of fuel per hour when...Ch. 2.5 - Cost A cable is to be installed from one corner,...Ch. 2.5 - Area A rectangular page is to contain 50 square...Ch. 2.5 - Distance Find the point on the graph of y=x that...Ch. 2.5 - Prob. 30ECh. 2.5 - Distance Find the point on the line y=2x+5 that is...Ch. 2.5 - Technology Exercise Inscribed Rectangle of Maximum...Ch. 2.6 - In the inventory problem of Example 2, suppose...Ch. 2.6 - In the inventory problem Example 2, Suppose that...Ch. 2.6 - Inventory Problem Figure 6 shows the inventory...Ch. 2.6 - Refer to Fig. 6. Suppose that The ordering cost...Ch. 2.6 - Inventory Control A pharmacist wants to establish...Ch. 2.6 - Inventory Control A furniture store expects to...Ch. 2.6 - Inventory Control A California distributor of...Ch. 2.6 - Economic Lot Size The Great American Tire Co....Ch. 2.6 - Prob. 7ECh. 2.6 - Prob. 8ECh. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Area Starting with a 100-foot-long stone wall, a...Ch. 2.6 - Prob. 12ECh. 2.6 - Length A rectangular corral of 54 square meters is...Ch. 2.6 - Refer to Exercise 13. If the cost of the fencing...Ch. 2.6 - Revenue Shakespeares Pizza sells 1000 large vegi...Ch. 2.6 - Prob. 16ECh. 2.6 - Cost A storage shed is to be built in the shape of...Ch. 2.6 - Cost A supermarket is to be designed as a...Ch. 2.6 - Volume A certain airline requires that rectangular...Ch. 2.6 - Area An athletic field [Fig.8] consists of a...Ch. 2.6 - Volume An open rectangular box is to be...Ch. 2.6 - Volume A closed rectangular box is to be...Ch. 2.6 - Amount of Oxygen in a Lake Let f(t) be the amount...Ch. 2.6 - Prob. 24ECh. 2.6 - Area Consider a parabolic arch whose shape may be...Ch. 2.6 - Prob. 26ECh. 2.6 - Surface Area An open rectangular box of volume 400...Ch. 2.6 - If f(x) is defined on the interval 0x5 and f(x) is...Ch. 2.6 - Technology Exercises Volume A pizza box is formed...Ch. 2.6 - Technology Exercises Consumption of Coffee in the...Ch. 2.7 - Prob. 1CYUCh. 2.7 - Rework Example 4 under the condition that the...Ch. 2.7 - On a certain route, a regional airline carries...Ch. 2.7 - Minimizing Marginal Cost Given the cost function...Ch. 2.7 - Minimizing Marginal Cost If a total cost function...Ch. 2.7 - Maximizing Revenue Cost The revenue function for a...Ch. 2.7 - Maximizing Revenue The revenue function for a...Ch. 2.7 - Cost and Profit A one-product firm estimates that...Ch. 2.7 - Maximizing Profit A small tie shop sells ties for...Ch. 2.7 - Demand and Revenue The demand equation for a...Ch. 2.7 - Maximizing Revenue The demand equation for a...Ch. 2.7 - Profit Some years ago, it was estimated that the...Ch. 2.7 - Maximizing Area Consider a rectangle in the xy-...Ch. 2.7 - Demand, Revenue, and Profit Until recently...Ch. 2.7 - Demand and Revenue The average ticket price for a...Ch. 2.7 - Demand and Revenue An artist is planning to sell...Ch. 2.7 - Demand and Revenue A swimming club offers...Ch. 2.7 - Prob. 15ECh. 2.7 - Prob. 16ECh. 2.7 - Price Setting The monthly demand equation for an...Ch. 2.7 - Taxes, Profit, and Revenue The demand equation for...Ch. 2.7 - Interest Rate A savings and loan association...Ch. 2.7 - Prob. 20ECh. 2.7 - Revenue The revenue for a manufacturer is R(x)...Ch. 2.7 - Prob. 22ECh. 2 - State as many terms used to describe graphs of...Ch. 2 - What is the difference between having a relative...Ch. 2 - Give three characterizations of what it means for...Ch. 2 - What does it mean to say that the graph of f(x)...Ch. 2 - Prob. 5FCCECh. 2 - Prob. 6FCCECh. 2 - Prob. 7FCCECh. 2 - Prob. 8FCCECh. 2 - Prob. 9FCCECh. 2 - Prob. 10FCCECh. 2 - Prob. 11FCCECh. 2 - Prob. 12FCCECh. 2 - Prob. 13FCCECh. 2 - Prob. 14FCCECh. 2 - Outline the procedure for solving an optimization...Ch. 2 - Prob. 16FCCECh. 2 - Figure (1) contains the graph of f(x), the...Ch. 2 - Figure (2) shows the graph of function f(x) and...Ch. 2 - In Exercise 36, draw the graph of a function f(x)...Ch. 2 - In Exercise 36, draw the graph of a function f(x)...Ch. 2 - In Exercise 36, draw the graph of a function f(x)...Ch. 2 - In Exercise 36, draw the graph of a function f(x)...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Exercise 712, refer to the graph in Fig. 3. List...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Properties of various functions are described...Ch. 2 - Prob. 20RECh. 2 - In Fig. 4 (a) and 4 (b), the t axis represents...Ch. 2 - U.S. Electric Energy United States electrical...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following parabolas. Include there x...Ch. 2 - Sketch the following curves. y=2x3+3x2+1Ch. 2 - Sketch the following curves. y=x332x26xCh. 2 - Sketch the following curves. y=x33x2+3x2Ch. 2 - Sketch the following curves. y=100+36x6x2x3Ch. 2 - Sketch the following curves. y=113+3xx213x3Ch. 2 - Sketch the following curves. y=x33x29x+7Ch. 2 - Sketch the following curves. y=13x32x25xCh. 2 - Sketch the following curves. y=x36x215x+50Ch. 2 - Sketch the following curves. y=x42x2Ch. 2 - Sketch the following curves. y=x44x3Ch. 2 - Sketch the following curves. y=x5+20x+3(x0)Ch. 2 - Sketch the following curves. y=12x+2x+1(x0)Ch. 2 - Let f(x)=(x2+2)3/2. Show that the graph of f(x)...Ch. 2 - Show that the function f(x)=(2x2+3)3/2 is...Ch. 2 - Let f(x) be a function whose derivative is...Ch. 2 - Let f(x) be a function whose derivative is...Ch. 2 - Position Velocity and Acceleration A car traveling...Ch. 2 - The water level in a reservoir varies during the...Ch. 2 - Population near New York City Let f(x) be the...Ch. 2 - For what x does the function f(x)=14x2x+2,0x8,...Ch. 2 - Find the maximum value of the function...Ch. 2 - Find the minimum value of the function...Ch. 2 - Surface Area An open rectangular box is to be 4...Ch. 2 - Volume A closed rectangular box with a square base...Ch. 2 - Volume A long rectangular sheet of metal 30 inches...Ch. 2 - Maximizing the Total Yield A small orchard yields...Ch. 2 - Inventory Control A publishing company sells...Ch. 2 - Profit if the demand equation for a monopolist is...Ch. 2 - Minimizing time Jane wants to drive her tractor...Ch. 2 - Maximizing Revenue A travel agency offers a boat...

Additional Math Textbook Solutions

Find more solutions based on key concepts
1. How much money is Joe earning when he’s 30?

Pathways To Math Literacy (looseleaf)

Subtract. Check each answer by adding. a. 12-9 b. 22-7 c. 35-35 d. 70-0

Prealgebra

In Exercises 5-36, express all probabilities as fractions. 23. Combination Lock The typical combination lock us...

Elementary Statistics

(a) Make a stem-and-leaf plot for these 24 observations on the number of customers who used a down-town CitiBan...

APPLIED STAT.IN BUS.+ECONOMICS

Find all solutions of each equation in the interval .

Precalculus: A Unit Circle Approach (3rd Edition)

The first derivative of function y=25x4.

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Knowledge Booster
Background pattern image
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
  • Text book image
    College Algebra
    Algebra
    ISBN:9781305115545
    Author:James Stewart, Lothar Redlin, Saleem Watson
    Publisher:Cengage Learning
    Text book image
    College Algebra
    Algebra
    ISBN:9781938168383
    Author:Jay Abramson
    Publisher:OpenStax
Text book image
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781938168383
Author:Jay Abramson
Publisher:OpenStax
SEE MORE TEXTBOOKS
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY