Question

Find f '(x) for f(x) = cos(x)tan(x)

Answer 1

I would simplify the function before taking the derivative.

Answer 2

RULE: tan(x) = sin(x) / cos(x).

re-write the tan(x) in terms of sines and cosines. Can you tell me what cancels?

Answer 3

it would cancel out the cos x

Answer 4

yes, so what would you then remain with?

Answer 5

sinx

Answer 6

and then the derivative would be cos?

Answer 7

yes.

Answer 8

\(\large\color{black}{ \sin'(x)=\cos(x) }\)

Answer 9

excuse my notation...

Answer 10

thank you!

Answer 11

anytime!

Answer 12

lol