Derivada de x^(1/10)
Answer
(1/10)*x^(-9/10)
Derivative of x^(1/10)
- Rule Used
- Power Rule
- Steps
- Identify the expression as a power function and apply the power rule. A rational exponent is allowed: ^(p/q) = (p/q)·.
- Final answer: (1/10)*
A derivada de x^(1/10) é (1/10)*x^(-9/10).
Solução passo a passo instantânea para x^(1/10)
Share this result
Derivative of x^(1/10) = (1/10)*x^(-9/10) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-1-minus-over-minus-10
Como encontrar a derivada de x^(1/10)
Para encontrar a derivada de x^(1/10), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Frequently Asked Questions
What is the derivative of x^(1/10)?▼
The derivative of x^(1/10) is (1/10)*x^(-9/10).
How do you find the derivative of x^(1/10)?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is (1/10)*x^(-9/10).
Why is the derivative of x^(1/10) equal to (1/10)*x^(-9/10)?▼
Because differentiation measures how a function changes — applying the rules to x^(1/10) yields (1/10)*x^(-9/10). See the full step-by-step breakdown above.