Derivada de x^13

Answer

13⋅x1213 \cdot x^{12}
13*x^12

Derivative of x^13

Rule Used
Power Rule
Steps
  1. Apply the power rule: ddx\frac{d}{dx}(x13x^13) = 13⋅x13−113\cdot x^{13-1}. 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: 13⋅x1213\cdot x^12
  3. Final answer: 13⋅x1213 \cdot x^12

La derivada de x^13 es 13*x^12.

Solución paso a paso instantánea para x^13

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Derivative of x^13 = 13*x^12 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-13

Cómo encontrar la derivada de x^13

Para encontrar la derivada de x^13, 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^13?▼
The derivative of x^13 is 13*x^12.
How do you find the derivative of x^13?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 13*x^12.
Why is the derivative of x^13 equal to 13*x^12?▼
Because differentiation measures how a function changes — applying the rules to x^13 yields 13*x^12. See the full step-by-step breakdown above.