Derivada de 17*x^17
Answer
289*x^16
Derivative of 17*x^17
- Rule Used
- Constant Multiple Rule
- Steps
- is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer:
A derivada de 17*x^17 é 289*x^16.
Solução passo a passo instantânea para 17*x^17
Share this result
Derivative of 17*x^17 = 289*x^16 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-17x-minus-to-minus-the-minus-17
Como encontrar a derivada de 17*x^17
Para encontrar a derivada de 17*x^17, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
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 x^(1/3)
Resolver d/dx x^(1/3)
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Frequently Asked Questions
What is the derivative of 17*x^17?▼
The derivative of 17*x^17 is 289*x^16.
How do you find the derivative of 17*x^17?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 289*x^16.
Why is the derivative of 17*x^17 equal to 289*x^16?▼
Because differentiation measures how a function changes — applying the rules to 17*x^17 yields 289*x^16. See the full step-by-step breakdown above.