Derivatives ~Chain rule

Limits, differentiation, related rates, integration, trig integrals, etc.
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Joined: Sat Dec 29, 2012 11:34 pm

Derivatives ~Chain rule

Postby nur123 » Thu Jan 03, 2013 12:25 am

Hello everyone,

Please help me to find the derivative of the following using chain rule:

f(x) = 3sin^3(x^2)


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Joined: Sat Dec 29, 2012 2:42 am

Re: Derivatives ~Chain rule

Postby jg.allinsymbols » Thu Jan 03, 2013 2:18 am

Could you express the formula for the Chain Rule?

Starting specifically with f(x)=3sin^3(x^2), or 3sin3(x2), you have h(x)=x2, and g(x)=3sin3(x)
You have the composition, g(h(x)). You are interested in the derivative of g(h(x)) with respect to x.

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