Therefore the critical number is x = 2. F '(x) = 0 and f '(x) = undefined.

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### Therefore, 3 is not a critical number.

**How to find critical numbers of f(x)**. Critical points are found by equating the first derivative to zero: Give {eq}f(x) = \dfrac{x^2}{x + 1} {/eq} a. Find the intervals where the function is.

That means these numbers are not in the domain of the original function and are not critical numbers. Therefore, 3 is not a critical number. Let’s use these techniques and tips to find the critical numbers of the functions shown below.

It is 'x' value given to the function and it is set for all real numbers. We first need the derivative of the function in order to find the critical points and so let’s get that and notice that we’ll factor it as much as possible to make our life easier when we go to find the critical points. Therefore the critical number is x = 2.

Give {eq}f(x) = \dfrac{x^2}{x + 1} {/eq} a. Critical points are found by equating the first derivative to zero: F '(x) = 0 and f '(x) = undefined.

We can determine the critical numbers of f ( x) by first finding the expression for f (. Therefore, 0 is a critical number.

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