Question

f(x)=(2x^2tan(x))/sec(x)
find the f'(x)

Answer 1

i thought quotient rule but maybe we can simplify first

= 2x^2 * sin x
-----
cos x
------------
1/ cos x


= 2x^2 * sin x

this can now be differentiated by product rule

Answer 2

f'(x) = 2x^2 cos x + sin x 4x
= 2x(x cos x + 2 sin x)