# What are the critical points of #f(x) = 1/sqrt(x+x^2-3)#?

##### 1 Answer

The critical points for

#### Explanation:

The critical points of a function

Thus first we find the derivative of the function, and then set it equal to zero.

To find the derivative we apply the quotient rule, the chain rule, and the power rule:

Now, to find the critical points, we want to find all points where

Because

we can solve for

As

we can use the quadratic formula to find critical points at

Thus the critical points for