Question

find dy/dx
f(x) = tan^4x^2

Answer 1

d/dx(tan^(4 x^2)(x)) = 4 x tan^(4 x^2)(x) (2 log(tan(x))+x csc(x) sec(x))

That's what you get when you differentiate what you typed, are you sure you haven't made a typo because that seems like a ridiculous value.

Answer 2

sorry. it was
\[f(x) = \tan ^{4}x ^{2}\]

Answer 3

is that right?

Answer 4

tan4(x2)
4tan(x^2)
4sec^2(x^2)
8sec^2(x)