y-valuesON86543N1g(x)72x-valuesIf f(x) = g(h(x)), thenf'(1) =Submit Question311Put55y-values4232+11h(x)1 23x-values4Out

Given: The graph of and .To find: , if .Approach: The slope formula refers to the formula used to…

Answered: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the local maximum and minimum values of f(x) = x^5 -5x +3 using the second derivative test when it is not possible use the first derivative test
Find the exact x-value where the function f(x) = x + ln (x2 -1) attains a maximum value. Please donot provided the answer from the graph or estimation. Please show the process.
Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?
4.The derivative of a function f is given by f'(x)=(-2x-2)e^x, and f(0) = 3.A. The function f has a critical point at x = -1. At this point, does f have a relative minimum, a relative maximum, or neither? Justify your answer.B. On what intervals, if any, is the graph of f both increasing and concave down? Explain your reasoning.C. Find the value of f(-1).
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True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your solution
Find all the critical points and horizontal and vertical asymptotes of the function f(x)=(x^2+5)/(x-2). Use the First and/or Second Derivative Test to determine whether each critical point is a local maximum, a local minimum, or neither. You may use either test, or both, but you must show your use of the test(s). You do not need to identify any global extrema.
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Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) = 0.05(8x – x2), where x and f(x) are measured in miles. Find the rate of change of elevation when x = 2. (Round your answer to two decimal places.) Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution.
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y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question 4 Out y-values 5- 4 3- 2- 1 1 h(x) 2 3 x-values 4 tho 5