Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 3x2 − 72x

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

Now, we are going to make the derivative equal zero and find the answers of the equation.

So we have that the critical points are the answers to this equation:

and

Thus, the critical points are x=-6 and x=4

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step-by-step explanation: