Question

differentiate y=cos^-1(tan3x^4)

Answer 1

Please let me first work through it. It will take one minute.

Answer 2

\(\large\color{black}{ \displaystyle y=\cos^{-1}(\tan~(3x^4)~) }\)

at first,

\(\large\color{black}{ \displaystyle \cos(y)=\tan~(3x^4)~ }\)

Answer 3

SO basically in derivatives for sin cos and tan,

The derivative of sin x is cos x,
The derivative of cos x is −sin x (note the negative sign!) and
The derivative of tan x is sec2x.

Answer 4

then use Implicit Differentiation

Answer 5

Well solomon seems to have got this lol

Answer 6

So the answer is cos(y)=tan(3x^4) or is there still more steps.