How do you differentiate #f(x)=2x^2e^xsinx# using the product rule?

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Answer 1 · 2018-05-04T00:04:11

#2xe^x(2sinx+xsinx+xcosx)#

#f'(x)=(2x^2e^xsinx)'# #=#

#(2x^2)'e^xsinx+2x^2(e^x)'sinx+2x^2e^x(sinx)'# #=#

#4xe^xsinx+2x^2e^xsinx+2x^2e^xcosx# #=#

#2xe^x(2sinx+xsinx+xcosx)#

How do you differentiate #f(x)=2x^2*e^x*sinx# using the product rule?