Consider the function f(x) that is described by the statment: “ the functiondecreases to the point (-3, -2) and then increases to the point (2,4) and thendecreases again". [A: 4]A. Sketch f(x) roughly.11B. Determine the interval where the first derivative is positive or negative.C. Determine the sign (+/ -) of the value of f" (-3) and f" (2)

Explanation of the answer is as follows

Answered: Consider the function f(x) that is…

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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The height, in meters, of person on a Ferris wheel above the ground as a function of f, the time after boarding in minutes, is given by f(t)=-20 cos (5) + +35 a. The period of this function is b. The highest point in the ride is c. The height of 47 meters occurs when cos(t)= There are two values within (0,2m) which (3) could be equal to. These give two values of t within the first turn for which the height is 47 meters Within a turn, the height remains above 47 meters for meters above the floor. It occurs for the first time minutos. minutes after boarding.
Consider the function f(x) that is described by the statment: " the function decreases to the point (-3, -2) and then increases to the point (2,4) and then decreases again". [A: 4] A. Sketch f(x) roughly. B. Determine the interval where the first derivative is positive or negative. C. Determine the sign (+/ -) of the value of f" (-3) and f" (2)
Choose the correct answer. By definition, we call a function differentiable at a closed interval [a, b] if it has: [a right-hand derivative, a derivative, a left-hand derivative] at every point in the open interval (a, b), [a right-hand derivative, a derivative, a left-hand derivative] at the endpoint a, and [a right-hand derivative, a derivative, a left-hand derivative] at the endpoint b.
5. a) Identify f, f', and f' from the graph below. b) Sketch the graph of the derivative in the blank box. -4 c) State where the function is not differentiable and explain why.

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