please solvd -5-4-3 -2 -1S432m7N-23-7-2-34Use the graph of f(x) above to estimate the value of f'(1) to one decimal place.f'(1) = Mail- Mohamed Mallah - OutlexD2L EXERCISES 3.2 The Derivative asxD2L EXERCISES 3.1 Defining the DeriChatGPTCbrightspace.ccc.edu/d21/le/content/294050/viewContent/12661738/ViewICALUUUREScore on last try: 0 of 10 pts. See Details for more.> Next questionGet a similar question You can retry this question below-5-4-3-2-15432-1-2--3-2 345aUse the graph of f(x) above to estimate the value of f'(1) to one decimal place.f(1)-Question Help: Video 1 Video 2 Message instructorSubmit QuestionJump to Answerype here to searchE

f'(1) is equal to the instantaneous rate of change or slope at (1, f(1)). Which is similar to the…

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Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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If xis large, which function grows faster, f(x)=2x or g(x)=x2?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
A 57. (a) Graph the function f(x) = x - 3x - 6x2 + 7x + 30 in the viewing rectangle [-3, 5] by [-10, 50]. (b) Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of f'. (See Example 2.2.1.) (c) Calculate f'(x) and use this expression to graph f'. Compare with your sketch in part (b).
An online store owner has 2,000 orders to fulfill. Each day, the store owner aims to complete one-third of the orders remaining from the previous day. Write the function that models the change between the number of days , t, and the number of orders remaining, f(t).
5. find the derivative 2x (7) + 6x (7) - 2x (²) Enter your answer + 210
The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* – 6x) c. (20x³ – 6)(5x* – 6x) - - 20 x3 2
1. (a) For the function f(x)=x* - x² (whose %3| | graph is shown) use the power rule to take derivatives and find f'(x), f"(x) and f"(x). -5- -5 (b) Graph all four functions together on a graphing utility (like Desmos) and then sketch all the functions --5- on the same axes at right. Make sure that horizontal tangents of each function line up with x-intercepts of its derivative (that's what l'll be checking for).
A graphing calculator or computer algebra system is recommended. f'(x) and its graph are given. Use the graph of f'(x) to determine the following. f(x)=x²-x - 6 -6 concave up -4 concave down X = y 10 Ⓡ (a) Where is the graph of f(x) concave up and where is it concave down? (Enter your answers using interval notation.) 2 (c) Find F"(x). f"(x) = 4 X (b) Where does f(x) have any points of inflection? (Enter your answers as a comma-separated list.)
The function g(x) is obtained by shifting the graph of y=x2. (a) If g(3)=36, give a possible formula for g when g is the result of applying only a horizontal shift to y=x^2.
The total profit (in dollars) from the sale of x cell phones is P(x) = 15x -x² - 70 for 1 .2 4 0
4. The depreciation of a new boat can be described by f (x) many percent does the boat depreciate each year? = 650,000 · 0.85*. By how b) Depreciation of a machine can be described by the function f(x) = 40,000 * 0.8*. How many percent is the annual depreciation?
An economist is interested in how the price of a certain item affects its sales. When the price of the item is $ p, the number of items sold will be q = f(p). (This is the idea of "demand") Suppose we found out that f(150) = 2,000 and that f'(150) = -25. (a) Sketch the information of two boldface statements in a quick picture/sketch: (b) Write out in words what the first statement f(150) = 2,000 means in the context. (c) The fact that the derivative is negative reflects what natural phenomenon? (d) Write out in words what the statement f'(150) = -25 means in the context. (Add in appropriate units!) (e) Use the information given to estimate f(151) and f(149.5). Show your work, and explain your rationale for proceeding as you did. A little picture would be ideal to explain your thinking.

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