Derivative of sqrt(3-x^2)

Instant step-by-step solution for sqrt(3-x^2)

Solution

AI Explanation

Rule used: Chain Rule.

Step-by-Step

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Derivative of sqrt(3-x^2)

Answer
-(-x^2+3)^(-1/2)*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: -(-x^2+3)^(-1/2)*x
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Derivative of sqrt(3-x^2) = -(-x^2+3)^(-1/2)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sqrt3-minus-x-minus-to-minus-the-minus-2

How to find the derivative of sqrt(3-x^2)

To find the derivative of sqrt(3-x^2), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.