Derivada de 1/x^7
Answer
-7*x^(-8)
Derivative of 1/x^7
- 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^7 é -7*x^(-8).
Solução passo a passo instantânea para 1/x^7
Share this result
Derivative of 1/x^7 = -7*x^(-8) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-1-minus-over-minus-x-minus-to-minus-the-minus-7
Como encontrar a derivada de 1/x^7
Para encontrar a derivada de 1/x^7, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
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)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Frequently Asked Questions
What is the derivative of 1/x^7?▼
The derivative of 1/x^7 is -7*x^(-8).
How do you find the derivative of 1/x^7?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -7*x^(-8).
Why is the derivative of 1/x^7 equal to -7*x^(-8)?▼
Because differentiation measures how a function changes — applying the rules to 1/x^7 yields -7*x^(-8). See the full step-by-step breakdown above.