Derivative of (sin(sin(sin(x))))

1. Feb 6, 2013

Torshi

1. The problem statement, all variables and given/known data

Derivative of d/dx (sin(sin(sin(x))))

2. Relevant equations
Chain Rule twice?

3. The attempt at a solution

d/dx Cos(sin(sin(x)))) * Cos(sin(x)) * Cos(x)

Last edited: Feb 6, 2013
2. Feb 6, 2013

Staff: Mentor

yes use the chain rule:

f(x)=sin(sin(x))

df/dx = cos(sin(x)) * cos(x)

3. Feb 6, 2013

Torshi

Well the original problem was f(x) = (sin(sin(sin(x)))), but yes I believe I got it right. Thank you.

4. Feb 6, 2013

Staff: Mentor

I know that but at first I didn't want to give you the answer outright. Later as I reread your post I saw that you had in fact the right answer. Anyway, its helpful to see a simpler example.

5. Feb 6, 2013

Torshi

Oh alrighty! Yea, when I saw the problem I was unsure at first, but then I thought I should do the chain rule. Wasn't too bad now that I think of it. Just wanted to make sure. Thanks!