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How do you find the derivative of #g(x)=root4(x)#?

1 Answer

Jan 23, 2017

The answer is #=1/(4root(4)(x^3))#

Explanation:

We use

#(x^n)'=nx^(n-1)#

#g(x)=root(4)x=x^(1/4)#

#g'(x)=1/4*x^(1/4-1)#

#=1/4x^(-3/4)=1/(4root(4)(x^3))#

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