What is the derivative of y = sin^4(tan 5x)?

Question

I got 20sin^3(tan 5x)cos(tan 5x)(sec^2 5x). Is this correct?

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Answer 1 · 2018-02-14T05:00:22

Yup , you're right

#y= sin^4(tan 5x)#

On using chain rule you get ,
#dy/dx = 4sin^3(tan5x)*cos(tan5x)*sec^2(5x)*5#

Final answer will be
-->#20sin^3(tan 5x)*cos(tan 5x)*sec^2( 5x)#

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