Question

Differentiate y=x√x?

Answer 1

`(dy)/(dx)=3/2x^(1/2)`

Explanation:

combine the xs then use the power rule

`y=xsqrtx=x*x^(1/2)`

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

`d/(dx)(x^(3/2))=3/2x^((3/2-1))`

`(dy)/(dx)=3/2x^(1/2)`