Find all relative extrema of the function. Use the second derivative test where applicable. (If an answer does not exist, enter DNE.)f(x) = x4 − 8x3 + 1
Question
Solution 1
To find the relative extrema of the function f(x) = x^4 - 8x^3 + 1, we need to follow these steps:
Find the derivative of the function: f'(x) = 4x^3 - 24x^2.
Set the derivative equal to zero and solve for x to find critical points: 4x^3 - 24x^2 = 0. Factoring out 4x^2 gives 4x^2(x - 6) = 0. 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.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
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