The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general shape of the graph of fy' = x(x² - 2)The second derivative is y" =Choose the correct sketch of the general shape of the graph of fO A.40Ay10OB.O C.OD.10-

The first derivative of a continuous function y=f(x) is given.

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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The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. I II III 4.A y y X Figure The x y coordinate plane is given. There is one curve on the graph. The curve enters the window in the third quadrantromhe left almost horizontally just underneath the x-axis. It goes down and right, has a negative local minimum in the third quadrant, then and goes up and right in a fairly straight line, passes through the origin, dontinues up and right to a positive local maximum in the first quadrant, goes down and right becoming less steep, and exits the window in the first quadrant just above the x-axis. IV y X
Use the graph of f" shown below and the letters A, B, C, and D representing x values to answer the following questions. Pay close attention to the function in the question. The given graph is the second derivative. f"(x) O concave down O neither (a) Is f(x) concave up, concave down, or neither on the interval (B, C) ? O concave up с (b) Where does f(x) have an inflection point? (Select all that apply.) UA UB 000 B C D (c) Is f'(x) increasing, decreasing, or neither on the interval (C, D) ? O increasing O decreasing O neither BC X (d) Where does f'(x) have an inflection point? (Select all that apply.) A с D
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.0 Find the derivative of the function. F'(x) = Need Help? Read It Watch It Talk to a Tutor Find the derivative of the function. f(x) = V3x + 1 f (x) dx du Need Help? L Re dltal wat hlt ULu Watch It Talk to a Tutor Find the derivative of the function. (z)- elz -5) f'(z) = Need Help? L-Read it |||| Talk to aTutor ll s:/www.webassign nttuul
Differentiate the function. Then find an equation of the tangent line at the indicated point on the graph of the function. y = f(x) = 4+√9-x, (x,y) = (0,7) The derivative of the function y = f(x) = 4+√9-x is What is the equation of the tangent line at (0,7)? O A. O C. 1 y-7=(x-0) y-7= = 1 6(x-0) B. y-7=6(x-0) O D. y-7-6(x-0)

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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 y² = x(x² -2) The second derivative is y" = Choose the correct sketch of the general shape of the graph of f OA. -10 Ay 10 5 OB. 10- O C. O D. 10-