a. Find the derivative (x) of the given function y = (x). b. Graph y = (x)

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a. Find the derivative ƒ′(x) of the given function y = ƒ(x).

b. Graph y = ƒ(x) and y = ƒ′(x) side by side using separate sets of coordinate axes, and answer the following questions.

c. For what values of x, if any, is ƒ′ positive? Zero? Negative?

d. Over what intervals of x-values, if any, does the function y = ƒ(x) increase as x increases? Decrease as x increases? How is this related to what you found in part (c)?

y = x³/3

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 16, 2023 12:41 AM

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a. Find the derivative (x) of the given function y = (x). b. Graph y = (x)

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a To find the derivative x of the function y x x33 we use the power rule of differentiation which ...View the full answer

Thomas Calculus Early Transcendentals

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