Derivada de 1/x^3
Answer
-3*x^(-4)
Derivative of 1/x^3
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 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: -
A derivada de 1/x^3 é -3*x^(-4).
Solução passo a passo instantânea para 1/x^3
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Derivative of 1/x^3 = -3*x^(-4) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-3
Como encontrar a derivada de 1/x^3
Para encontrar a derivada de 1/x^3, 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^3?▼
The derivative of 1/x^3 is -3*x^(-4).
How do you find the derivative of 1/x^3?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -3*x^(-4).
Why is the derivative of 1/x^3 equal to -3*x^(-4)?▼
Because differentiation measures how a function changes — applying the rules to 1/x^3 yields -3*x^(-4). See the full step-by-step breakdown above.