Derivada de x/(x^2+7)^2
Solução passo a passo instantânea para x/(x^2+7)^2
Derivative of x/(x^2+7)^2
- Answer
- (7+x^2)^(-2)-4*(7+x^2)^(-3)*x^2
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient of two functions: use the quotient rule (u/v)' = (u'v − uv')/v².
- Differentiate numerator and denominator, then combine.
- Final answer: (7+x^2)^(-2)-4*(7+x^2)^(-3)*x^2
Share this result
Derivative of x/(x^2+7)^2 = (7+x^2)^(-2)-4*(7+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-7-minus-to-minus-the-minus-2
Como encontrar a derivada de x/(x^2+7)^2
Para encontrar a derivada de x/(x^2+7)^2, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1/sqrt(1-x^2)
Resolver d/dx 1/sqrt(1-x^2)
Derivada de 1/sqrt(10-x^2)
Resolver d/dx 1/sqrt(10-x^2)
Derivada de 1/sqrt(2-x^2)
Resolver d/dx 1/sqrt(2-x^2)
Derivada de 1/sqrt(3-x^2)
Resolver d/dx 1/sqrt(3-x^2)
Derivada de 1/sqrt(4-x^2)
Resolver d/dx 1/sqrt(4-x^2)
Derivada de 1/sqrt(5-x^2)
Resolver d/dx 1/sqrt(5-x^2)
Derivada de 1/sqrt(6-x^2)
Resolver d/dx 1/sqrt(6-x^2)
Derivada de 1/sqrt(7-x^2)
Resolver d/dx 1/sqrt(7-x^2)
Derivada de 1/sqrt(8-x^2)
Resolver d/dx 1/sqrt(8-x^2)
Derivada de 1/sqrt(9-x^2)
Resolver d/dx 1/sqrt(9-x^2)