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Find f '(x) if f(x) = xsin Tx+(x-2) on [0, 1].

Find f '(x) if f(x) = xsin Tx+(x-2) on [0, 1].

Calculus: Early Transcendentals
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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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].
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].
Transcribed Image Text:Show that f '(x) =0 at least once if f(x) xsin Tx+(x-2) on [0, 1].
Expert Solution
Step 1

We are given that f(x)=x sinπ x+x-2.

Now,

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

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