Question

How do you find the derivative of `x*x^(1/2)`?

Answer 1

`(3/2)x^(1/2)`

Explanation:

Since `x` and `x^(1/2)` have the same base, add the exponents together and merge them:

`x^(1+1/2)=x^(3/2)`

Now take the derivative using the power rule:

`(3/2)x^(1/2)`