Derivada de x^10

Answer

10⋅x910 \cdot x^{9}
10*x^9

Derivative of x^10

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x10x^10) = 10⋅x10−110\cdot x^{10-1}. The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
  2. Simplify the exponent: 10⋅x910\cdot x^9
  3. Final answer: 10⋅x910 \cdot x^9

La derivada de x^10 es 10*x^9.

Solución paso a paso instantánea para x^10

Share this result
Share on X

Derivative of x^10 = 10*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-10

Cómo encontrar la derivada de x^10

Para encontrar la derivada de x^10, 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^10?▼
The derivative of x^10 is 10*x^9.
How do you find the derivative of x^10?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 10*x^9.
Why is the derivative of x^10 equal to 10*x^9?▼
Because differentiation measures how a function changes — applying the rules to x^10 yields 10*x^9. See the full step-by-step breakdown above.