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)=3⋅𝑥−𝑥3
Question
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)=3⋅𝑥−𝑥³ is 𝑓'(𝑥)=3-3𝑥².
Step 2: Set the derivativ Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve s
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