Derivative of x/(x^2+9)^2

Instant step-by-step solution for x/(x^2+9)^2

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

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Derivative of x/(x^2+9)^2

Answer
(9+x^2)^(-2)-4*(9+x^2)^(-3)*x^2
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: (9+x^2)^(-2)-4*(9+x^2)^(-3)*x^2
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Derivative of x/(x^2+9)^2 = (9+x^2)^(-2)-4*(9+x^2)^(-3)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-over-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-9-minus-to-minus-the-minus-2

How to find the derivative of x/(x^2+9)^2

To find the derivative of x/(x^2+9)^2, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.