Derivada de 1/(x^1+1)
Answer
-(1+x)^(-2)
Derivative of 1/(x^1+1)
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 1/(+1): 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: -(1+x)^(-2)
A derivada de 1/(x^1+1) é -(1+x)^(-2).
Solução passo a passo instantânea para 1/(x^1+1)
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Derivative of 1/(x^1+1) = -(1+x)^(-2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-1-minus-plus-minus-1
Como encontrar a derivada de 1/(x^1+1)
Para encontrar a derivada de 1/(x^1+1), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of 1/(x^1+1)?▼
The derivative of 1/(x^1+1) is -(1+x)^(-2).
How do you find the derivative of 1/(x^1+1)?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -(1+x)^(-2).
Why is the derivative of 1/(x^1+1) equal to -(1+x)^(-2)?▼
Because differentiation measures how a function changes — applying the rules to 1/(x^1+1) yields -(1+x)^(-2). See the full step-by-step breakdown above.