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

1 Answer

Dec 6, 2015

2(3x^2-1)

Explanation:

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

#df/dx=2(dx/dx.(x^2-1)+xd/dx(x^2-1))#
Product rule:
#d/dx(uv)=(du/dx)v+u(dv/dx)#
#df/dx=2((x^2-1)+x.2x)#

#df/dx=2(x^2-1+2x^2)=2(3x^2-1)#

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