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

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Homework Help Overview

The discussion revolves around finding the derivative of the function f(x) = sin(sin(sin(x))). Participants are exploring the application of the chain rule in this context.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of the chain rule, with one suggesting it may need to be applied multiple times. There are attempts to confirm the correctness of the derivative calculation.

Discussion Status

Several participants express agreement on the approach taken, noting that the original problem was correctly identified. There seems to be a productive exchange regarding the application of the chain rule, though no definitive consensus is reached on the final form of the derivative.

Contextual Notes

Some participants reflect on their initial uncertainty regarding the problem, indicating a learning process in understanding the application of the chain rule.

Torshi
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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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