Derivada de x^8 - x

Answer

8⋅x7−18 \cdot x^{7}-1
-1+8*x^7

Derivative of x^8 - x

Rule Used
Sum Rule
Steps
  1. Differentiate x8x^8-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+8⋅x78 \cdot x^7

La derivada de x^8 - x es -1+8*x^7.

Solución paso a paso instantánea para x^8 - x

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Derivative of x^8 - x = -1+8*x^7 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-8-minus-minus-minus-x

Cómo encontrar la derivada de x^8 - x

Para encontrar la derivada de x^8 - 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^8 - x?▼
The derivative of x^8 - x is -1+8*x^7.
How do you find the derivative of x^8 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+8*x^7.
Why is the derivative of x^8 - x equal to -1+8*x^7?▼
Because differentiation measures how a function changes — applying the rules to x^8 - x yields -1+8*x^7. See the full step-by-step breakdown above.