Question

You can find the critical points of a function by:

Answer 1

To find the critical points of a function, calculate the derivative and solve the equation f'(x) = 0. Then, check for undefined values.

Step-by-step explanation:

To find the critical points of a function, we need to find the values of x where the derivative of the function is equal to zero or is undefined. These points represent the locations where the function may have local extrema or points of inflection.

Here are the steps to find the critical points:

1. Calculate the derivative of the function with respect to x.
2. Solve the equation f'(x) = 0 for x to find potential critical points.
3. Check if the derivative is undefined at any value of x by analyzing the domain of the function.

By following these steps, you can determine the critical points of a function.