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Find f'(x) if f(x)=sin^3(4x)

A. 4cos^3(4x)
B. 3sin^2(4x)cos(4x)
C. cos^3(4x)
D. 12sin^2(4x)cos(4x)
E. None of these

I got D using the chain rule?

1 answer

f = u^3, so
f' = 3u^2 u' = 3sin^2(4x) cos(4x) (4)
= 12 sin^2(4x) cos(4x)
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