Question

What is the derivative of `sqrt(x-3)`?

Answer 1

`1/(2sqrt(x-3))`

Explanation:

The power rule states that `d/dx[u(x)]^n=n[u(x)]^(n-1)*(du)/dx`.

Thus, application of this rule yields

`d/dx[sqrt(x-3)]=d/dx(x-3)^(1/2)`

`=1/2(x-3)^(-1/2)*(1)`