How do you differentiate #f(x) = ( 4x - 3) ( xe^x)# using the product rule?

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Answer 1 · 2016-01-12T11:23:40

#f' (x)=e^x*(4x^2+5x-3)#

from the given

f(x)=(4x-3)(x*e^x)#

#f' (x)=(4x-3)(1*e^x+x*e^x)+x*e^x*4#

#f' (x)=e^x*(1+x)(4x-3)+4x*e^x#

#f' (x)=e^x((x+1)(4x-3)+4x)#

#f' (x)=e^x(4x^2+x-3+4x)#

#f' (x)=e^x(4x^2+5x-3)#