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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
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Find f ' ( x ) . Compare the graphs of f and f ' and use them to explain why your answer is reasonable.

f ( x ) = 3 x 15 5 x 3 + 3

To determine

(a)

To find: The derivative of given function.

Explanation

1) Formula:

i. difference rule: ddxfx-gx=ddxfx-ddxg(x)

ii. Power rule:

ddxxn=nxn-1

iii. constant function rule:

ddxc=0 where c is constant.

iv. constant multiple rule:

ddxc.fx=c.ddxfx  where c is constant

To determine

To explain: If the  answer is reasonable by comparing graphs of f,f

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