Derivada de 1/(x^2+5)^2

Solução passo a passo instantânea para 1/(x^2+5)^2

Solution

AI Explanation

Rule used: Quotient Rule.

Step-by-Step

Graph

Derivative of 1/(x^2+5)^2

Answer
-4*(5+x^2)^(-3)*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: -4*(5+x^2)^(-3)*x
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Derivative of 1/(x^2+5)^2 = -4*(5+x^2)^(-3)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-2-minus-plus-minus-5-minus-to-minus-the-minus-2

Como encontrar a derivada de 1/(x^2+5)^2

Para encontrar a derivada de 1/(x^2+5)^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.