We say that x = c x = c is a critical point of the function f (x) f ( x) if f (c) f ( c) exists and if either of the following are true. f ′(c) =0 OR f ′(c) doesn't exist f ′ ( c) = 0 OR f ′ ( c) doesn't

646
Experts

9.8/10
Star Rating

76867
Student Reviews

Steps for finding the critical points of a given function f (x): 1.) Take derivative of f (x) to get f ‘ (x) 2.) Find x values where f ‘ (x) = 0 and/or where f ‘ (x) is undefined 3.) Plug the values obtained

- Decide mathematic problems
- Decide mathematic equation
- Get Support
- Supply multiple methods
- Get homework writing help

To find the critical numbers, find the values for x where the first derivative is 0 or undefined. For the function. The first derivative is. So for. the first derivative is. Settig the first derivative equal

Decide math questions

Your Question? We Answer!

Solve mathematic equations

Do math

An online critical numbers calculator finds the critical points with several methods by following these guidelines: Input: First, enter any function with single or multiple variables. Click on the

Since we can’t factor the quadratic expression, we can use the quadratic formula to determine the critical numbers of f ( x) instead. x = − ( − 8) ± ( − 8) 2 – 4 ( 3) ( 1) 2 ( 3) = 8 ± 64 – 12 6 = 8 ± 52