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Find the open intervals on which the function 𝑓 is increasing or decreasing, and find the 𝑥-values of all relative extrema (turning points).𝑓(𝑥)=18⋅𝑥−𝑥3

Question

Find the open intervals on which the function 𝑓 is increasing or decreasing, and find the 𝑥-values of all relative extrema (turning points).𝑓(𝑥)=18⋅𝑥−𝑥3
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Solution 1

To find the open intervals on which the function 𝑓 is increasing or decreasing, and the 𝑥-values of all relative extrema (turning points), we need to follow these steps:

Step 1: Find the derivative of the function The derivative of the function 𝑓(𝑥)=18⋅𝑥−𝑥³ is 𝑓'(𝑥)=18-3𝑥².

Step 2: Set the derivat Knowee AI is a powerful AI-powered study tool designed to help you to solve study pro

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

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