$$$$

The following function will be analyzed:

$\frac{x^{2} + 1}{x^{2} - x - 6}$

The following are the critical points:

$\text{Click "Calculate" to begin.}$

Critical points are the points on a graph where the derivative of a function is either zero or undefined.

To find the critical points of a function, you need to find the values of $x$ where the function's derivative is zero or undefined. Note that all critical points must be defined in the function's domain, meaning that if a point is undefined in both the function and its derivative, it is not a critical point.

"No critical points" means that the function has no critical points. This can happen if the derivative of the function never reaches zero or it is always defined.