Explanation Given information :. f ( x ) = e 1 + x 2 Formula Used: Power rule of derivative: If f ( x ) = k x n then f ' ( x ) = k ⋅ n x n − 1 Chain rule: ( f ( g ( x ) ) ) ' = f ' ( g ( x ) ) ⋅ g ' ( x ) Product rule: ( f ⋅ g ) ' = f ⋅ g ' + g ⋅ f ' Concept Involved: Find the first derivative and second derivative of the given function. Graph f , f ' , & f ' ' In the function f graph, the interval where f < 0 {below the x -axis} is the interval where the function negative and the interval where f > 0 {above the x -axis} is the interval where the function positive. In the first derivative of function f ' graph, the interval where f ' < 0 {below the x -axis} is the interval where the function decreasing and the interval where f ' > 0 {above the x -axis} is the interval where the function increasing. Critical number is the value of x where the f ' ( x ) = 0 . In the second derivative of function f ' ' graph, the interval where f ' ' < 0 {below the x -axis} is the interval where the function concave down and the interval where f ' ' > 0 {above the x -axis} is the interval where the function concave up. Calculation: Description Steps Substituting positive and negative values of x in the function Irrespective of whatever we substitute for x in the given function, we will get a positive value for x 2 in the exponent of the function So f ( x ) = e 1 + x 2 is positive for all values of x Analyze the x values where the function is positive and where the function is negative Function is not negativein any of the interval Function is positive in the interval ( − ∞ , ∞ ) Find the derivative of the function f ( x ) = e 1 + x 2 f ' ( x ) = e 1 + x 2 ⋅ d ( 1 + x 2 ) / d x = e 1 + x 2 ( 2 x ) = 2 x e 1 + x 2 The critical number is the value of x that makes the first derivative f ' ( x ) = 2 x e 1 + x 2 equal to zero or undefined. Setting up each factor to zero. 2 x = 0 be the 1st equation e 1 + x 2 = 0 be the 2nd equation Solving the equation 2 x = 0 by • Dividing 2on both sides 2 x / 2 = 0 / 2 x = 0 Solving the equation e 1 + x 2 = 0 by There is no real value of x that makes the equation true. List the critical number that makes first derivative as zero x = 0 List the intervals using the critical number where the function will be increasing or decreasing ( − ∞ , 0 ) ; ( 0 , ∞ ) Pick a test point from each interval and check the sign of f ' ( x ) = 2 x e 1 + x 2 Substituting the test point x = − 1 ∈ ( − ∞ , 0 ) , f ( − 1 ) = 2 ( − 1 ) e 1 + ( − 1 ) 2 ≈ − 14.78 < 0 Substituting the test point x = 1 ∈ ( 0 , ∞ ) , f ( 1 ) = 2 ( 1 ) e 1 + ( − 1 ) 2 ≈ 14.78 > 0 Sign chart of the first derivative

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

See similar textbooks

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 …

Videos

Question

Chapter 3, Problem 5SC

To determine

To find : where the function is increasing or decreasing.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3, Problem 4SC

Chapter 3, Problem 6SC

Students have asked these similar questions

Find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 3xy.

Q6. A fossil piece has been found in Alberta that contains 34% of C14 in it. What is the age of this fossil piece?

Q5. Briefly explain what are isotopes of an elements, with an example, and why some isotopes are radioactive. 470

Chapter 3 Solutions

Loose-leaf Version for Calculus

Ch. 3.1 - Prob. 1TB Ch. 3.1 - Prob. 0C Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 6C Ch. 3.1 - Prob. 7C Ch. 3.1 - Prob. 8C

Ch. 3.1 - Prob. 9C Ch. 3.1 - Prob. 10C Ch. 3.1 - Prob. 11C Ch. 3.1 - Prob. 12C Ch. 3.1 - Prob. 13C Ch. 3.1 - Prob. 14C Ch. 3.1 - Prob. 15C Ch. 3.1 - Prob. 16C Ch. 3.1 - Prob. 17C Ch. 3.1 - Prob. 18C Ch. 3.1 - Prob. 19C Ch. 3.1 - Prob. 20C Ch. 3.1 - Prob. 21C Ch. 3.1 - Prob. 22C Ch. 3.1 - Prob. 23S Ch. 3.1 - Prob. 24S Ch. 3.1 - Prob. 25S Ch. 3.1 - Prob. 26S Ch. 3.1 - Prob. 27S Ch. 3.1 - Prob. 28S Ch. 3.1 - Prob. 29S Ch. 3.1 - Prob. 30S Ch. 3.1 - Prob. 31S Ch. 3.1 - Prob. 32S Ch. 3.1 - Prob. 33S Ch. 3.1 - Prob. 34S Ch. 3.1 - Prob. 35S Ch. 3.1 - Prob. 36S Ch. 3.1 - Prob. 37S Ch. 3.1 - Prob. 38S Ch. 3.1 - Prob. 39S Ch. 3.1 - Prob. 40S Ch. 3.1 - Prob. 41S Ch. 3.1 - Prob. 42S Ch. 3.1 - Prob. 43S Ch. 3.1 - Prob. 44S Ch. 3.1 - Prob. 45S Ch. 3.1 - Prob. 46S Ch. 3.1 - Prob. 47S Ch. 3.1 - Prob. 48S Ch. 3.1 - Prob. 49S Ch. 3.1 - Prob. 50S Ch. 3.1 - Prob. 51S Ch. 3.1 - Prob. 52S Ch. 3.1 - Prob. 53S Ch. 3.1 - Prob. 54S Ch. 3.1 - Prob. 55S Ch. 3.1 - Prob. 56S Ch. 3.1 - Prob. 57S Ch. 3.1 - Prob. 58S Ch. 3.1 - Prob. 59S Ch. 3.1 - Prob. 60S Ch. 3.1 - Prob. 61A Ch. 3.1 - Prob. 62A Ch. 3.1 - Prob. 63A Ch. 3.1 - Prob. 64P Ch. 3.1 - Prob. 65P Ch. 3.1 - Prob. 66P Ch. 3.1 - Prob. 67P Ch. 3.1 - Prob. 68P Ch. 3.1 - Prob. 69P Ch. 3.1 - Prob. 1TF Ch. 3.1 - Prob. 2TF Ch. 3.1 - Prob. 3TF Ch. 3.1 - Prob. 4TF Ch. 3.1 - Prob. 5TF Ch. 3.1 - Prob. 6TF Ch. 3.1 - Prob. 7TF Ch. 3.1 - Prob. 8TF Ch. 3.2 - Prob. 1TB Ch. 3.2 - Prob. 2TB Ch. 3.2 - Prob. 3TB Ch. 3.2 - Prob. 0C Ch. 3.2 - Prob. 1C Ch. 3.2 - Prob. 2C Ch. 3.2 - Prob. 3C Ch. 3.2 - Prob. 4C Ch. 3.2 - Prob. 5C Ch. 3.2 - Prob. 6C Ch. 3.2 - Prob. 7C Ch. 3.2 - Prob. 8C Ch. 3.2 - Prob. 9C Ch. 3.2 - Prob. 10C Ch. 3.2 - Prob. 11C Ch. 3.2 - Prob. 12C Ch. 3.2 - Prob. 13C Ch. 3.2 - Prob. 14C Ch. 3.2 - Prob. 15C Ch. 3.2 - Prob. 16C Ch. 3.2 - Prob. 17C Ch. 3.2 - Prob. 18C Ch. 3.2 - Prob. 19S Ch. 3.2 - Prob. 20S Ch. 3.2 - Prob. 21S Ch. 3.2 - Prob. 22S Ch. 3.2 - Prob. 23S Ch. 3.2 - Prob. 24S Ch. 3.2 - Prob. 25S Ch. 3.2 - Prob. 26S Ch. 3.2 - Prob. 27S Ch. 3.2 - Prob. 28S Ch. 3.2 - Prob. 29S Ch. 3.2 - Prob. 30S Ch. 3.2 - Prob. 31S Ch. 3.2 - Prob. 32S Ch. 3.2 - Prob. 33S Ch. 3.2 - Prob. 34S Ch. 3.2 - Prob. 35S Ch. 3.2 - Prob. 36S Ch. 3.2 - Prob. 37S Ch. 3.2 - Prob. 38S Ch. 3.2 - Prob. 39S Ch. 3.2 - Prob. 40S Ch. 3.2 - Prob. 41S Ch. 3.2 - Prob. 42S Ch. 3.2 - Prob. 43S Ch. 3.2 - Prob. 44S Ch. 3.2 - Prob. 45S Ch. 3.2 - Prob. 46S Ch. 3.2 - Prob. 47S Ch. 3.2 - Prob. 48S Ch. 3.2 - Prob. 49S Ch. 3.2 - Prob. 50S Ch. 3.2 - Prob. 51S Ch. 3.2 - Prob. 52S Ch. 3.2 - Prob. 53S Ch. 3.2 - Prob. 54S Ch. 3.2 - Prob. 55S Ch. 3.2 - Prob. 56S Ch. 3.2 - Prob. 57S Ch. 3.2 - Prob. 58S Ch. 3.2 - Prob. 59S Ch. 3.2 - Prob. 60S Ch. 3.2 - Prob. 61S Ch. 3.2 - Prob. 62S Ch. 3.2 - Prob. 63S Ch. 3.2 - Prob. 64S Ch. 3.2 - Prob. 65S Ch. 3.2 - Prob. 66S Ch. 3.2 - Prob. 67S Ch. 3.2 - Prob. 68S Ch. 3.2 - Prob. 69S Ch. 3.2 - Prob. 70S Ch. 3.2 - Prob. 71S Ch. 3.2 - Prob. 72S Ch. 3.2 - Prob. 73S Ch. 3.2 - Prob. 74S Ch. 3.2 - Prob. 75S Ch. 3.2 - Prob. 76S Ch. 3.2 - Prob. 77S Ch. 3.2 - Prob. 78S Ch. 3.2 - Prob. 79S Ch. 3.2 - Prob. 80S Ch. 3.2 - Prob. 81S Ch. 3.2 - Prob. 82S Ch. 3.2 - Prob. 83A Ch. 3.2 - Prob. 84A Ch. 3.2 - Prob. 85A Ch. 3.2 - Prob. 86A Ch. 3.2 - Prob. 87P Ch. 3.2 - Prob. 88P Ch. 3.2 - Prob. 89P Ch. 3.2 - Prob. 90P Ch. 3.2 - Prob. 91P Ch. 3.2 - Prob. 92P Ch. 3.2 - Prob. 1TF Ch. 3.2 - Prob. 2TF Ch. 3.3 - Prob. 1TB Ch. 3.3 - Prob. 2TB Ch. 3.3 - Prob. 0C Ch. 3.3 - Prob. 1C Ch. 3.3 - Prob. 2C Ch. 3.3 - Prob. 3C Ch. 3.3 - Prob. 4C Ch. 3.3 - Prob. 5C Ch. 3.3 - Prob. 6C Ch. 3.3 - Prob. 7C Ch. 3.3 - Prob. 8C Ch. 3.3 - Prob. 9C Ch. 3.3 - Prob. 10C Ch. 3.3 - Prob. 11C Ch. 3.3 - Prob. 12C Ch. 3.3 - Prob. 13C Ch. 3.3 - Prob. 14C Ch. 3.3 - Prob. 15C Ch. 3.3 - Prob. 16C Ch. 3.3 - Prob. 17C Ch. 3.3 - Prob. 18C Ch. 3.3 - Prob. 19C Ch. 3.3 - Prob. 20C Ch. 3.3 - Prob. 21S Ch. 3.3 - Prob. 22S Ch. 3.3 - Prob. 23S Ch. 3.3 - Prob. 24S Ch. 3.3 - Prob. 25S Ch. 3.3 - Prob. 26S Ch. 3.3 - Prob. 27S Ch. 3.3 - Prob. 28S Ch. 3.3 - Prob. 29S Ch. 3.3 - Prob. 30S Ch. 3.3 - Prob. 31S Ch. 3.3 - Prob. 32S Ch. 3.3 - Prob. 33S Ch. 3.3 - Prob. 34S Ch. 3.3 - Prob. 35S Ch. 3.3 - Prob. 36S Ch. 3.3 - Prob. 37S Ch. 3.3 - Prob. 38S Ch. 3.3 - Prob. 39S Ch. 3.3 - Prob. 40S Ch. 3.3 - Prob. 41S Ch. 3.3 - Prob. 42S Ch. 3.3 - Prob. 43S Ch. 3.3 - Prob. 44S Ch. 3.3 - Prob. 45S Ch. 3.3 - Prob. 46S Ch. 3.3 - Prob. 47S Ch. 3.3 - Prob. 48S Ch. 3.3 - Prob. 49S Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.3 - Prob. 56S Ch. 3.3 - Prob. 57S Ch. 3.3 - Prob. 58S Ch. 3.3 - Prob. 59S Ch. 3.3 - Prob. 60S Ch. 3.3 - Prob. 61S Ch. 3.3 - Prob. 62S Ch. 3.3 - Prob. 63S Ch. 3.3 - Prob. 64S Ch. 3.3 - Prob. 65S Ch. 3.3 - Prob. 66S Ch. 3.3 - Prob. 67S Ch. 3.3 - Prob. 68S Ch. 3.3 - Prob. 69S Ch. 3.3 - Prob. 70S Ch. 3.3 - Prob. 71S Ch. 3.3 - Prob. 72S Ch. 3.3 - Prob. 73S Ch. 3.3 - Prob. 74S Ch. 3.3 - Prob. 75S Ch. 3.3 - Prob. 76S Ch. 3.3 - Prob. 77S Ch. 3.3 - Prob. 78S Ch. 3.3 - Prob. 79S Ch. 3.3 - Prob. 80S Ch. 3.3 - Prob. 81S Ch. 3.3 - Prob. 82S Ch. 3.3 - Prob. 83S Ch. 3.3 - Prob. 84S Ch. 3.3 - Prob. 85S Ch. 3.3 - Prob. 86S Ch. 3.3 - Prob. 87A Ch. 3.3 - Prob. 88A Ch. 3.3 - Prob. 89A Ch. 3.3 - Prob. 90A Ch. 3.3 - Prob. 91P Ch. 3.3 - Prob. 92P Ch. 3.3 - Prob. 93P Ch. 3.3 - Prob. 94P Ch. 3.3 - Prob. 95P Ch. 3.3 - Prob. 1TF Ch. 3.3 - Prob. 2TF Ch. 3.4 - Prob. 1TB Ch. 3.4 - Prob. 2TB Ch. 3.4 - Prob. 0C Ch. 3.4 - Prob. 1C Ch. 3.4 - Prob. 2C Ch. 3.4 - Prob. 3C Ch. 3.4 - Prob. 4C Ch. 3.4 - Prob. 5C Ch. 3.4 - Prob. 6C Ch. 3.4 - Prob. 7C Ch. 3.4 - Prob. 8C Ch. 3.4 - Prob. 9C Ch. 3.4 - Prob. 10C Ch. 3.4 - Prob. 11S Ch. 3.4 - Prob. 12S Ch. 3.4 - Prob. 13S Ch. 3.4 - Prob. 14S Ch. 3.4 - Prob. 15S Ch. 3.4 - Prob. 16S Ch. 3.4 - Prob. 17S Ch. 3.4 - Prob. 18S Ch. 3.4 - Prob. 19S Ch. 3.4 - Prob. 20S Ch. 3.4 - Prob. 21S Ch. 3.4 - Prob. 22S Ch. 3.4 - Prob. 23S Ch. 3.4 - Prob. 24S Ch. 3.4 - Prob. 25S Ch. 3.4 - Prob. 26S Ch. 3.4 - Prob. 27S Ch. 3.4 - Prob. 28S Ch. 3.4 - Prob. 29S Ch. 3.4 - Prob. 30S Ch. 3.4 - Prob. 31S Ch. 3.4 - Prob. 32S Ch. 3.4 - Prob. 33S Ch. 3.4 - Prob. 34S Ch. 3.4 - Prob. 35A Ch. 3.4 - Prob. 36A Ch. 3.4 - Prob. 37A Ch. 3.4 - Prob. 38A Ch. 3.4 - Prob. 39A Ch. 3.4 - Prob. 40A Ch. 3.4 - Prob. 41A Ch. 3.4 - Prob. 42A Ch. 3.4 - Prob. 43A Ch. 3.4 - Prob. 44A Ch. 3.4 - Prob. 45A Ch. 3.4 - Prob. 46A Ch. 3.4 - Prob. 47A Ch. 3.4 - Prob. 48A Ch. 3.4 - Prob. 49A Ch. 3.4 - Prob. 50A Ch. 3.4 - Prob. 51A Ch. 3.4 - Prob. 52A Ch. 3.4 - Prob. 53A Ch. 3.4 - Prob. 54A Ch. 3.4 - Prob. 55A Ch. 3.4 - Prob. 56A Ch. 3.4 - Prob. 57A Ch. 3.4 - Prob. 58A Ch. 3.4 - Prob. 59A Ch. 3.4 - Prob. 60A Ch. 3.4 - Prob. 61A Ch. 3.4 - Prob. 62A Ch. 3.4 - Prob. 63P Ch. 3.4 - Prob. 64P Ch. 3.4 - Prob. 1TF Ch. 3.4 - Prob. 2TF Ch. 3.4 - Prob. 3TF Ch. 3.4 - Prob. 4TF Ch. 3.4 - Prob. 5TF Ch. 3.5 - Prob. 1TB Ch. 3.5 - Prob. 2TB Ch. 3.5 - Prob. 0C Ch. 3.5 - Prob. 1C Ch. 3.5 - Prob. 2C Ch. 3.5 - Prob. 3C Ch. 3.5 - Prob. 4C Ch. 3.5 - Prob. 5C Ch. 3.5 - Prob. 6C Ch. 3.5 - Prob. 7C Ch. 3.5 - Prob. 8C Ch. 3.5 - Prob. 9C Ch. 3.5 - Prob. 10C Ch. 3.5 - Prob. 11C Ch. 3.5 - Prob. 12C Ch. 3.5 - Prob. 13C Ch. 3.5 - Prob. 14C Ch. 3.5 - Prob. 15C Ch. 3.5 - Prob. 16C Ch. 3.5 - Prob. 17C Ch. 3.5 - Prob. 18C Ch. 3.5 - Prob. 19S Ch. 3.5 - Prob. 20S Ch. 3.5 - Prob. 21S Ch. 3.5 - Prob. 22S Ch. 3.5 - Prob. 23S Ch. 3.5 - Prob. 24S Ch. 3.5 - Prob. 25S Ch. 3.5 - Prob. 26S Ch. 3.5 - Prob. 27S Ch. 3.5 - Prob. 28S Ch. 3.5 - Prob. 29S Ch. 3.5 - Prob. 30S Ch. 3.5 - Prob. 31S Ch. 3.5 - Prob. 32S Ch. 3.5 - Prob. 33S Ch. 3.5 - Prob. 34S Ch. 3.5 - Prob. 35S Ch. 3.5 - Prob. 36S Ch. 3.5 - Prob. 37A Ch. 3.5 - Prob. 38A Ch. 3.5 - Prob. 39A Ch. 3.5 - Prob. 40A Ch. 3.5 - Prob. 41A Ch. 3.5 - Prob. 42A Ch. 3.5 - Prob. 43A Ch. 3.5 - Prob. 44A Ch. 3.5 - Prob. 45A Ch. 3.5 - Prob. 46A Ch. 3.5 - Prob. 47A Ch. 3.5 - Prob. 48A Ch. 3.5 - Prob. 49A Ch. 3.5 - Prob. 50A Ch. 3.5 - Prob. 51A Ch. 3.5 - Prob. 52A Ch. 3.5 - Prob. 53A Ch. 3.5 - Prob. 54A Ch. 3.5 - Prob. 55A Ch. 3.5 - Prob. 56A Ch. 3.5 - Prob. 57A Ch. 3.5 - Prob. 58A Ch. 3.5 - Prob. 59A Ch. 3.5 - Prob. 60A Ch. 3.5 - Prob. 61A Ch. 3.5 - Prob. 62P Ch. 3.5 - Prob. 63P Ch. 3.5 - Prob. 64P Ch. 3.5 - Prob. 65P Ch. 3.5 - Prob. 1TF Ch. 3.5 - Prob. 2TF Ch. 3.5 - Prob. 3TF Ch. 3.5 - Prob. 4TF Ch. 3.6 - Prob. 1TB Ch. 3.6 - Prob. 2TB Ch. 3.6 - Prob. 0C Ch. 3.6 - Prob. 1C Ch. 3.6 - Prob. 2C Ch. 3.6 - Prob. 3C Ch. 3.6 - Prob. 4C Ch. 3.6 - Prob. 5C Ch. 3.6 - Prob. 6C Ch. 3.6 - Prob. 7C Ch. 3.6 - Prob. 8C Ch. 3.6 - Prob. 9C Ch. 3.6 - Prob. 10C Ch. 3.6 - Prob. 11C Ch. 3.6 - Prob. 12C Ch. 3.6 - Prob. 13C Ch. 3.6 - Prob. 14C Ch. 3.6 - Prob. 15S Ch. 3.6 - Prob. 16S Ch. 3.6 - Prob. 17S Ch. 3.6 - Prob. 18S Ch. 3.6 - Prob. 19S Ch. 3.6 - Prob. 20S Ch. 3.6 - Prob. 21S Ch. 3.6 - Prob. 22S Ch. 3.6 - Prob. 23S Ch. 3.6 - Prob. 24S Ch. 3.6 - Prob. 25S Ch. 3.6 - Prob. 26S Ch. 3.6 - Prob. 27S Ch. 3.6 - Prob. 28S Ch. 3.6 - Prob. 29S Ch. 3.6 - Prob. 30S Ch. 3.6 - Prob. 31S Ch. 3.6 - Prob. 32S Ch. 3.6 - Prob. 33S Ch. 3.6 - Prob. 34S Ch. 3.6 - Prob. 35S Ch. 3.6 - Prob. 36S Ch. 3.6 - Prob. 37S Ch. 3.6 - Prob. 38S Ch. 3.6 - Prob. 39S Ch. 3.6 - Prob. 40S Ch. 3.6 - Prob. 41S Ch. 3.6 - Prob. 42S Ch. 3.6 - Prob. 43S Ch. 3.6 - Prob. 44S Ch. 3.6 - Prob. 45S Ch. 3.6 - Prob. 46S Ch. 3.6 - Prob. 47S Ch. 3.6 - Prob. 48S Ch. 3.6 - Prob. 49S Ch. 3.6 - Prob. 50S Ch. 3.6 - Prob. 51S Ch. 3.6 - Prob. 52S Ch. 3.6 - Prob. 53S Ch. 3.6 - Prob. 54S Ch. 3.6 - Prob. 55S Ch. 3.6 - Prob. 56S Ch. 3.6 - Prob. 57S Ch. 3.6 - Prob. 58S Ch. 3.6 - Prob. 59S Ch. 3.6 - Prob. 60S Ch. 3.6 - Prob. 61S Ch. 3.6 - Prob. 62S Ch. 3.6 - Prob. 63S Ch. 3.6 - Prob. 64S Ch. 3.6 - Prob. 65S Ch. 3.6 - Prob. 66S Ch. 3.6 - Prob. 67S Ch. 3.6 - Prob. 68S Ch. 3.6 - Prob. 69S Ch. 3.6 - Prob. 70S Ch. 3.6 - Prob. 71S Ch. 3.6 - Prob. 72S Ch. 3.6 - Prob. 73S Ch. 3.6 - Prob. 74S Ch. 3.6 - Prob. 75S Ch. 3.6 - Prob. 76S Ch. 3.6 - Prob. 77S Ch. 3.6 - Prob. 78S Ch. 3.6 - Prob. 79S Ch. 3.6 - Prob. 80S Ch. 3.6 - Prob. 81S Ch. 3.6 - Prob. 82S Ch. 3.6 - Prob. 83S Ch. 3.6 - Prob. 84S Ch. 3.6 - Prob. 85S Ch. 3.6 - Prob. 86S Ch. 3.6 - Prob. 87A Ch. 3.6 - Prob. 88A Ch. 3.6 - Prob. 89A Ch. 3.6 - Prob. 90P Ch. 3.6 - Prob. 91P Ch. 3.6 - Prob. 92P Ch. 3.6 - Prob. 93P Ch. 3.6 - Prob. 94P Ch. 3.6 - Prob. 95P Ch. 3.6 - Prob. 1TF Ch. 3.6 - Prob. 2TF Ch. 3.6 - Prob. 3TF Ch. 3.6 - Prob. 4TF Ch. 3 - Prob. 1D Ch. 3 - Prob. 2D Ch. 3 - Prob. 3D Ch. 3 - Prob. 4D Ch. 3 - Prob. 5D Ch. 3 - Prob. 6D Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 1GFT Ch. 3 - Prob. 2GFT Ch. 3 - Prob. 3GFT Ch. 3 - Prob. 4GFT Ch. 3 - Prob. 5GFT Ch. 3 - Prob. 6GFT Ch. 3 - Prob. 7GFT Ch. 3 - Prob. 8GFT Ch. 3 - Prob. 9GFT Ch. 3 - Prob. 1SC Ch. 3 - Prob. 2SC Ch. 3 - Prob. 3SC Ch. 3 - Prob. 4SC Ch. 3 - Prob. 5SC Ch. 3 - Prob. 6SC Ch. 3 - Prob. 7SC Ch. 3 - Prob. 8SC Ch. 3 - Prob. 9SC Ch. 3 - Prob. 10SC Ch. 3 - Prob. 11SC Ch. 3 - Prob. 12SC Ch. 3 - Prob. 13SC Ch. 3 - Prob. 14SC Ch. 3 - Prob. 15SC Ch. 3 - Prob. 16SC Ch. 3 - Prob. 17SC Ch. 3 - Prob. 18SC Ch. 3 - Prob. 19SC Ch. 3 - Prob. 20SC Ch. 3 - Prob. 21SC Ch. 3 - Prob. 22SC Ch. 3 - Prob. 23SC Ch. 3 - Prob. 24SC Ch. 3 - Prob. 25SC Ch. 3 - Prob. 26SC Ch. 3 - Prob. 27SC Ch. 3 - Prob. 28SC Ch. 3 - Prob. 29SC Ch. 3 - Prob. 30SC Ch. 3 - Prob. 31SC Ch. 3 - Prob. 32SC Ch. 3 - Prob. ACP Ch. 3 - Prob. BCP Ch. 3 - Prob. CCP Ch. 3 - Prob. DCP

Knowledge Booster

$Calculus$

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.

where the function is increasing or decreasing.

Solution Summary: The author explains how to find the first and second derivatives of the given function.

Concept explainers

Videos

To find : where the function is increasing or decreasing.

Want to see the full answer?

Chapter 3 Solutions