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

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

1 Answer
Feb 14, 2018

Yup , you're right

Explanation:

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)

Party.