Derivative of 1/sqrt(6-x^2)

Instant step-by-step solution for 1/sqrt(6-x^2)

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

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Derivative of 1/sqrt(6-x^2)

Answer
(-x^2+6)^(-3/2)*x
Rule Used
Quotient Rule
Steps
  1. Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
  2. Differentiate numerator and denominator, then combine.
  3. Final answer: (-x^2+6)^(-3/2)*x
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Derivative of 1/sqrt(6-x^2) = (-x^2+6)^(-3/2)*x Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-1-minus-over-minus-sqrt6-minus-x-minus-to-minus-the-minus-2

How to find the derivative of 1/sqrt(6-x^2)

To find the derivative of 1/sqrt(6-x^2), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.