Question

Find d dx [ f (tan( x 2 ))] 4

Answer 1

so the function is f(x) = tan(x^2) ^ 4 ?

Answer 2

Yes,I'm sorry for the typo

Answer 3

ok. use chain rule: 4 tan(x^2)^3 * sec^2(x^2) * 2x

Answer 4

Okay thanks,just one little question.Why do we multiply 2x at the end?

Answer 5

cuz the derivative of x^2 is 2x

Answer 6

you use the chain rule until you have derived the x.

Answer 7

Alright thanks a lot