Let 𝑓(𝑥)=𝑥3−3𝑥2−9𝑥+25.Determine the absolute maximum and absolute minimum values of 𝑓 on the interval [0,4]

Question

Let 𝑓(𝑥)=𝑥3−3𝑥2−9𝑥+25.Determine the absolute maximum and absolute minimum values of 𝑓 on the interval [0,4]
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Solution 1

To find the absolute maximum and minimum values of a function on a closed interval [a, b], we need to evaluate the function at its critical points and endpoints, and compare the function values.

Step 1: Find the derivative of the function. f'(x) = 3x^2 - 6x - 9

Step 2: Set the derivative equal to Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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