Final answer:
To find local maximum and minimum values of a function, you need to calculate its derivative, find the critical points by setting the derivative equal to zero, and evaluate the function at these points.
Step-by-step explanation:
The local maximum and minimum values of a function can be found by taking its derivative and analyzing the critical points. To calculate the derivative, you can use a derivative calculator or find it by hand using rules like the power rule, chain rule, or product rule. Once you have the derivative, set it equal to zero and solve for x to find the critical points. Evaluate the function at these critical points to determine if they are local maximum or minimum values.