Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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This is a two part question please help. Part a is one image, b is the second image
Find f '(x) if f(x) = xsin tx+(x-2) on [0,
1].
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Transcribed Image Text:Find f '(x) if f(x) = xsin tx+(x-2) on [0, 1].
Show that f '(x) =0 at least once if f(x)
xsin Tx+(x-2) on [0, 1].
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Transcribed Image Text:Show that f '(x) =0 at least once if f(x) xsin Tx+(x-2) on [0, 1].
Expert Solution
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Step 1

We are given that f(x)=xsinπx+x-2.

Now,

            f'(x)=xsinπx+x-2'      =xsinπx'+x'-2'      =sinπx+πxcosπx+1-0      =πxcosπx+sinπx+1 

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