Find the derivative of the function y = sin(tan 4x)

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04-10-2017
Mathematics

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Find the derivative of the function y = sin(tan 4x)

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jdoe0001 jdoe0001 · Answer 1 · 2017-10-04T01:23:31+02:00

jdoe0001 jdoe0001

04-10-2017

[tex]\bf y=sin[tan(4x)]\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{cos[tan(4x)]\cdot sec^2(4x)\cdot 4} \\\\\\ \cfrac{dy}{dx}=4cos[tan(4x)]sec^2(4x)[/tex]

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