What is the Derivative of f(x)=(x^2-1)^3?

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Homework Help Overview

The problem involves finding the derivative of the function f(x) = (x^2 - 1)^3, which falls under the subject area of calculus, specifically focusing on differentiation techniques.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the chain rule to find the derivative and suggests that the result is 6x(x^2 - 1)^2. Other participants engage by confirming the answer and discussing critical numbers related to the function.

Discussion Status

The discussion includes confirmations of the derivative and a light-hearted exchange about critical numbers. While some participants express confidence in their understanding, there is no explicit consensus on the correctness of the critical numbers mentioned.

Contextual Notes

Participants are navigating through the implications of their calculations, including the identification of critical numbers, and there is a playful tone in the interaction.

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Homework Statement



f(x)= (x^2-1)^3

Homework Equations





The Attempt at a Solution


6x(x^2-1)^2 is that the solution using the chain rule
 
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Yes. That's the answer.
 


sweet I am so smart, are the Critical Numbers therefore 0,-1,1
 


You are REALLY smart! Except you should put '?' after a question.
 


lol thanks i think I am actually starting to get this ish
 

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