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OpenStudy (anonymous):
f(x)=(x^2)(e^4x)+ln(sin(2x)) Find the derivative
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sam (.sam.):
Product rule for (x^2)(e^4x) then product and chain rule for ln(sin(2x))
sam (.sam.):
You can check \[4 e^{4 x} x^2+2 e^{4 x} x+2 \cot (2 x)\]
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