Question

\(f(x) = e^{sinx}cosx\). \(f'(x)\)is equal to?

Answer 1

well..id say use product rule

Answer 2

cos^2x.e^sinx e^sinx(sinx)

Answer 3

\[\large (e^{\sin x}\cos x)'=(e^{\sin x})'\cos x+e^{\sin x}(\cos x)'\]

Answer 4

got it from here?

Answer 5

chain rule from here?

Answer 6

yeah chain rule for \[(e^{\sin x})'\]part :)

Answer 7

I got \((cos^2x - sinx)e^{sinx}\)
thanks for your help :D

Answer 8

welcome :)