Question

What is the derivative of `sqrt(5x)`?

Answer 1

`=5/(2sqrt(5x))`

or

`sqrt5/(2sqrt(x))`

Explanation:

`sqrt(5x)=(5x)^(1/2)`

`d/dx(ax)^n=n*(ax)^(n-1)*a`

derivative of `(5x)^(1/2)=1/2*(5x)^(1/2-1)*5`

`=5/2*(5x)^(-1/2)*`

`=5/2*1/sqrt(5x)`

`=5/(2sqrt(5x))`

or

`sqrt5/(2sqrt(x))`