Question

What is the derivative of `sin(x)^(1/2)`?

Answer 1

`d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))`

Explanation:

`f(x)=sin(x)^(1/2)`

`d/(d x) f(x)= 1/2*sin(x)^((1/2-1))*cos (x)`

`d/(d x) f(x)=1/2*sin(x)^(-1/2)*cos (x)`

`d/(d x) f(x)=(cos(x))/(2*sqrt sin(x))`