How do you find the maximum and minimum values of a function using the first and second derivatives?

To find the maximum and minimum values of a function using the first and second derivatives, follow these steps: 1. Find the first derivative of the function and set it to zero to solve for critical points. 2. Use the second derivative test: if the second derivative at a critical point is positive, it’s a local minimum; if negative, it’s a local maximum. If the second derivative is zero, the test is inconclusive.

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