Derivada de 1/(x^2+5)^2
Answer
-4*(5+x^2)^(-3)*x
Derivative of 1/(x^2+5)^2
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 1/(+5)^2: use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -4*(5+)^(-3)*x
A derivada de 1/(x^2+5)^2 é -4*(5+x^2)^(-3)*x.
Solução passo a passo instantânea para 1/(x^2+5)^2
Share this result
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.
Praticar Mais Problemas
Derivada de csc(x)
Resolver d/dx csc(x)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Derivada de -x
Resolver d/dx -x
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Frequently Asked Questions
What is the derivative of 1/(x^2+5)^2?▼
The derivative of 1/(x^2+5)^2 is -4*(5+x^2)^(-3)*x.
How do you find the derivative of 1/(x^2+5)^2?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -4*(5+x^2)^(-3)*x.
Why is the derivative of 1/(x^2+5)^2 equal to -4*(5+x^2)^(-3)*x?▼
Because differentiation measures how a function changes — applying the rules to 1/(x^2+5)^2 yields -4*(5+x^2)^(-3)*x. See the full step-by-step breakdown above.