Question

What is the derivative of `sqrt(x^3)`?

Answer 1

To solve this problem you can use the chain rule.

`f(x)= sqrt(x^3) = (x^3)^(1/2)`

`f'(x) = 1/2(x^3)^(-1/2)3x^2 = (3/2x^2)(x^(-3/2)) = 3/2x^(2-3/2) = 3/2x^(1/2) = (3sqrt(x))/2`