Question

How do you find the derivative of `sqrt(5x)`?

Answer 1

If `u` is a function, then the derivative of `u^n` is `n*u'*u^(n-1)`. We apply this here.

`f(x) = sqrt(5x) = (5x)^(1/2)` so `f'(x) = 1/2*5*(5x)^(1/2 - 1) = 5/(2sqrt(5x))`.