Question

Differentiate e^2x log sin 3x differentiate with respect to x
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Answer 1

e^2x log sin 3x

= 2e^2x * 1/sin 3x * 3 cos 3x

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Answer 2

Heya!!

Given Function is

F(x) = e^2x log (Sin 3x)

Differentiate both sides w.r.t x we have

F'(x) = e^2x d(log (Sin 3x)/dx + d(e^2x)/dx log (Sin 3x)

F'(x) = 3e^2x Cos 3x/Sin 3x + 2e^2x log (Sin 3x)

F'(x) = e^2x { 3Cot 3x + 2 log ( Sin 3x ) }