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How do you find the derivative of #h(x)=f(x^2)# using the chain rule?

1 Answer

Dec 23, 2015

#h'(x)=2x*f'(x^2)#

Explanation:

According to the chain rule:

if #h(x)=f(g(x))#, then

#h'(x)=f'(g(x))*g'(x)#

In this case, #g(x)=x^2# so

#h'(x)=f'(x^2)*d/dx[x^2]#

#h'(x)=2x*f'(x^2)#

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