## anonymous one year ago differentiate y=cos^-1(tan3x^4)

1. anonymous

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

2. SolomonZelman

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

3. anonymous

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.

4. SolomonZelman

then use Implicit Differentiation

5. anonymous

Well solomon seems to have got this lol

6. anonymous

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