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

[Torshi]

Homework Statement

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

Homework Equations

Chain Rule twice?

The Attempt at a Solution

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

 

[jedishrfu]

yes use the chain rule:

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

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

your solution looks correct.

 

[Torshi]

yes use the chain rule:

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

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

your solution looks correct.

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

 

[jedishrfu]

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

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.

 

[Torshi]

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.

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!