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How do you differentiate #f(x)=(x^2+x)(x^3-1)# using the product rule?

1 Answer

May 26, 2016

#d f(x)=(5x^4+4x^3-2x-1)*d x#

Explanation:

#f(x)=(x^2+x)(x^3-1)#

#d f(x)=((x^2+x)^' * (x^3-1)+(x^3-1)^' *(x^2+x))d x#

#d f(x)=[(2x+1)(x^3-1)+3x^2(x^2+x)]* d x#

#d f(x)=[2x^4-2x+x^3-1+3x^4+3x^3]*d x#

#d f(x)=(5x^4+4x^3-2x-1)*d x#

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