Derivada de 19*x^19

Answer

361⋅x18361 \cdot x^{18}
361*x^18

Derivative of 19*x^19

Rule Used
Constant Multiple Rule
Steps
  1. 19⋅x1919 \cdot x^19 is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
  2. Final answer: 361⋅x18361 \cdot x^18

La derivada de 19*x^19 es 361*x^18.

Solución paso a paso instantánea para 19*x^19

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Derivative of 19*x^19 = 361*x^18 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-19x-minus-to-minus-the-minus-19

Cómo encontrar la derivada de 19*x^19

Para encontrar la derivada de 19*x^19, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of 19*x^19?▼
The derivative of 19*x^19 is 361*x^18.
How do you find the derivative of 19*x^19?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 361*x^18.
Why is the derivative of 19*x^19 equal to 361*x^18?▼
Because differentiation measures how a function changes — applying the rules to 19*x^19 yields 361*x^18. See the full step-by-step breakdown above.