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How do you differentiate #f(x)=e^x(x^3-1) # using the product rule?

1 Answer

May 21, 2016

#(d f(x))/(d x)=3*e^x* x^2+e^x*(x^3-1) *l n (e)#

Explanation:

#f(x)=e^x(x^3-1)#

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

#(d f(x))/(d x)=e^x*l n e*(x^3-1)+3x^2*e^x#

#(d f(x))/(d x)=3*e^x* x^2+e^x*(x^3-1) *l n (e)#

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