Derivada de 3/x
Answer
-3*x^(-2)
Derivative of 3/x
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 3/x: 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: -
A derivada de 3/x é -3*x^(-2).
Solução passo a passo instantânea para 3/x
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Derivative of 3/x = -3*x^(-2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-3-minus-over-minus-x
Como encontrar a derivada de 3/x
Para encontrar a derivada de 3/x, 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 3/x?▼
The derivative of 3/x is -3*x^(-2).
How do you find the derivative of 3/x?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -3*x^(-2).
Why is the derivative of 3/x equal to -3*x^(-2)?▼
Because differentiation measures how a function changes — applying the rules to 3/x yields -3*x^(-2). See the full step-by-step breakdown above.