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How do you find the derivative of #sqrt[ x^3]#?

1 Answer

Jun 6, 2016

Doing the derivative of the power.

Explanation:

#sqrt(x^3)=x^(3/2)#.

We can use the derivative of a power that says

#d/dxx^n=nx^(n-1)#

For us #n=3/2#

#d/dxx^(3/2)=3/2x^(3/2-1)=3/2x^(1/2)=3/2sqrt(x)#.

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