The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general shape of the graph of f.y' = x(3-x²)The second derivative is y"=Choose the correct sketch of the general shape of the graph of f.O A.-1010OB.OC.O D.QG-1010-1010

If f(x) is a differentiable function then the critical points of f(x) are the values of x for which…

Answered: The first derivative of a continuous…

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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Make a sign diagram for the derivative of the function. f(x)=x²³6x²15x + 8 0 decrease Sketch the graph of the function. y -6 -4 100 Find all open intervals of increase and decrease. (Enter your answers using interval notation.) increase 50 0 -50 -100 0 2 4 6 -6 JA ਜਲ y 100 50 -6 -2 2 4 6 -50 -100 f'(x) [ x x = e 0 f'(x) -2 y 100 50 -50 -100 0 2 4 6 -6 -4 -2 y 100 50 -50 -100 4 6
Graph O in the red box below depicts the graph of a function f. Which of the other graphs A, B, C, or D best represents the graph of the derivative function f' ? f 0.4 02 -2 A. f' B. 0.5 0.5 -0.5 -0.5 0.6 0.4 -0.2 -0.2 -0.4 -0.4 -0.6-
Pls help ASAP
Kindly identify its x and y intercepts, First derivate and second derivative to sketch the graph. This is curve sketching
Consider the function: Answer f(x) = (3x² + 6)² Use the Second Derivative Test to classify the relative extrema, if the test applies. Otherwise, use the First Derivative Test. Keypad Keyboard Shortcuts Write all relative extrema as ordered pairs of the form (x, f(x)). (Note that you will be calculating the values of the relative extrema, as well as finding their locations.) Separate multiple answers with commas. Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Relative Maxima: Relative Minima: O No Relative Maximal O No Relative Minimal
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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The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general shape of the graph of f. y=x-x²) The second derivative is y" =☐ Choose the correct sketch of the general shape of the graph of f. O A. -10 10 OB. OC. OD. Q G -10 10 G -10 10 G