Derivada de x/(x^2+9)^2

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

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/pt/derivative-of-x-minus-over-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-9-minus-to-minus-the-minus-2