Derivada de x^9 + x^8

Answer

9⋅x8+8⋅x79 \cdot x^{8}+8 \cdot x^{7}
8*x^7+9*x^8

Derivative of x^9 + x^8

Rule Used
Sum Rule
Steps
  1. Differentiate x9x^9+x8x^8 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: 8⋅x78 \cdot x^7+9⋅x89 \cdot x^8

La derivada de x^9 + x^8 es 8*x^7+9*x^8.

Solución paso a paso instantánea para x^9 + x^8

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Derivative of x^9 + x^8 = 8*x^7+9*x^8 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-9-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-8

Cómo encontrar la derivada de x^9 + x^8

Para encontrar la derivada de x^9 + x^8, 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^8?▼
The derivative of x^9 + x^8 is 8*x^7+9*x^8.
How do you find the derivative of x^9 + x^8?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 8*x^7+9*x^8.
Why is the derivative of x^9 + x^8 equal to 8*x^7+9*x^8?▼
Because differentiation measures how a function changes — applying the rules to x^9 + x^8 yields 8*x^7+9*x^8. See the full step-by-step breakdown above.