Derivada de x^16
Answer
16*x^15
Derivative of x^16
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
La derivada de x^16 es 16*x^15.
Solución paso a paso instantánea para x^16
Share this result
Derivative of x^16 = 16*x^15 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-16
Cómo encontrar la derivada de x^16
Para encontrar la derivada de x^16, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
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 x^(1/2)
Resolver d/dx x^(1/2)
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Frequently Asked Questions
What is the derivative of x^16?▼
The derivative of x^16 is 16*x^15.
How do you find the derivative of x^16?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 16*x^15.
Why is the derivative of x^16 equal to 16*x^15?▼
Because differentiation measures how a function changes — applying the rules to x^16 yields 16*x^15. See the full step-by-step breakdown above.