Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Differentiate f() = tan (3x). Use exact values.
f'(1) -
%3D
Transcribed Image Text:Differentiate f() = tan (3x). Use exact values. f'(1) - %3D
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Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain rule,f'(x)=13x2+1ddx3xf'(x)=13x2+1·3f'(x)=39x2+1

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