Derivada de x^20

Answer

20⋅x1920 \cdot x^{19}
20*x^19

Derivative of x^20

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x20x^20) = 20⋅x20−120\cdot x^{20-1}. 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: 20⋅x1920\cdot x^19
  3. Final answer: 20⋅x1920 \cdot x^19

La derivada de x^20 es 20*x^19.

Solución paso a paso instantánea para x^20

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Derivative of x^20 = 20*x^19 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-20

Cómo encontrar la derivada de x^20

Para encontrar la derivada de x^20, 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^20?▼
The derivative of x^20 is 20*x^19.
How do you find the derivative of x^20?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 20*x^19.
Why is the derivative of x^20 equal to 20*x^19?▼
Because differentiation measures how a function changes — applying the rules to x^20 yields 20*x^19. See the full step-by-step breakdown above.