Question

What is the derivative of `sqrt(2x)`?

Answer 1

`1/sqrt(2x)`

Explanation:

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

now differentiate using the 'chain rule '

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

`= 1/sqrt(2x)`