Derivada de x^9 - x

Answer

9⋅x8−19 \cdot x^{8}-1
-1+9*x^8

Derivative of x^9 - x

Rule Used
Sum Rule
Steps
  1. Differentiate x9x^9-x term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
  2. Final answer: -1+9⋅x89 \cdot x^8

La derivada de x^9 - x es -1+9*x^8.

Solución paso a paso instantánea para x^9 - x

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Derivative of x^9 - x = -1+9*x^8 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-9-minus-minus-minus-x

Cómo encontrar la derivada de x^9 - x

Para encontrar la derivada de x^9 - x, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of x^9 - x?▼
The derivative of x^9 - x is -1+9*x^8.
How do you find the derivative of x^9 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+9*x^8.
Why is the derivative of x^9 - x equal to -1+9*x^8?▼
Because differentiation measures how a function changes — applying the rules to x^9 - x yields -1+9*x^8. See the full step-by-step breakdown above.