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

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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)
 
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yes use the chain rule:

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

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

your solution looks correct.
 
jedishrfu said:
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.
 
Torshi said:
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.
 
jedishrfu said:
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!
 
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