Critical Points Calculator

by The Scientific Place

The following function will be analyzed:

x2+1x2x6 \frac{x^{2} + 1}{x^{2} - x - 6}

The following are the critical points:

Click "Calculate" to begin. \text{Click "Calculate" to begin.}
What are critical points?

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

How do you find critical points?

To find the critical points of a function, you need to find the values of xx 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.

What does "No critical points" mean?

"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.

Discover more tools: