How do you find the global maximum and minimum values of a function on a closed interval using derivatives and critical points?
Answer 1
To find the global maximum and minimum values of a function on a closed interval [a, b], follow these steps: 1. Compute the derivative of the function. 2. Find the critical points by setting the derivative equal to zero and solving for x. 3. Evaluate the function at the critical points and at the endpoints a and b. 4. Compare these values to determine the global maximum and minimum.
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