Question

what is the derivative given y=sin^3(3x)+(cos^2)2x

Answer 1

Well,
I'll write all the basic formulas you need to do this...

Derivatives of the following are:
x^n=n*x^(n-1)
sinx=cosx
cosx=-sinx
Use the chain rule..

Answer 2

First, assign sinx as p,q or any variable you want..

Answer 3

And cosx as some particular variable..

Answer 4

Then, use the first formula..i.e, x^n=n*x^(n-1)..

Answer 5

Are you there??

Answer 6

Well, anyway..multiply whatever you get with the derivative of sinx and cosx..
In this case...there's another number multiplied to the x...
Suppose it's sin5x..then the derivative would be...
cos5x*5 or 5cos5x...
I hope you understand...

Answer 7

I think you can work it out on your own now..