Question

How do you differentiate `sqrt(sqrtx)`?

Answer 1

We can rewrite `y= sqrt(sqrt(x))` as `y = (x^(1/2))^(1/2) = x^(1/4)`

By the power rule:

`dy/dx= 1/4x^(1/4 - 1)`

`dy/dx= 1/4x^(-3/4)`

`dy/dx = 1/(4x^(3/4))`

Hopefully this helps!