Derivative of (x^2-1)^2

Instant step-by-step solution for (x^2-1)^2

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

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Derivative of (x^2-1)^2

Answer
4*(-1+x^2)*x
Rule Used
Chain Rule
Steps
  1. Identify a composite function: use the chain rule d/dx f(g(x)) = f'(g(x))·g'(x).
  2. Differentiate the outer function, then multiply by the inner derivative.
  3. Final answer: 4*(-1+x^2)*x
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Derivative of (x^2-1)^2 = 4*(-1+x^2)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-2-minus-1-minus-to-minus-the-minus-2

How to find the derivative of (x^2-1)^2

To find the derivative of (x^2-1)^2, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.