English

# Critical Number Calculator

The given below is the online critical number calculator for you to calculate the same. Just enter the expression to find the critical numbers of the function with ease,

## Find the Critical Numbers of the Function

The given below is the online critical number calculator for you to calculate the same. Just enter the expression to find the critical numbers of the function with ease,

Critical Number: It is also called as a critical point or stationary point. A critical point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0. It is a number 'a' in the domain of a given function 'f'. It is 'x' value given to the function and it is set for all real numbers.

Find the Critical Numbers of the Function: You need to set the first derivative equal to zero (0) and then solve for x. If the first derivative has a denominator with variable, then set the denominator equal to zero and solve for the value of x. You can also use the given online critical number calculator to make your calculations easier.

### Example:

Find the Critical Number of the expression x3 - 3x + 5, then the value of 'x'

#### Solution:

f(x) = x3-3x+5
f'(x) = 3x2 - 3
f'(x) = 0
So, 3x2 - 3 = 0
Therefore, Critical Numbers of the Function f(x) is 1