Derivada de 5^x

Answer

455321031⋅5x282906863\frac{455321031 \cdot 5^{x}}{282906863}
(455321031/282906863)*5^x

Derivative of 5^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 5^x. For e^x the derivative equals the original function. For a^x the factor ln⁡(a)\ln(a) appears, because a^x = ex⋅ln⁡(a)e^{x\cdot \ln(a)}.
  2. Apply the rule and keep that constant factor.
  3. Final answer: (455321031/282906863)*5^x

La derivada de 5^x es (455321031/282906863)*5^x.

Solución paso a paso instantánea para 5^x

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Derivative of 5^x = (455321031/282906863)*5^x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-5-minus-to-minus-the-minus-x

Cómo encontrar la derivada de 5^x

Para encontrar la derivada de 5^x, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.

Frequently Asked Questions

What is the derivative of 5^x?▼
The derivative of 5^x is (455321031/282906863)*5^x.
How do you find the derivative of 5^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (455321031/282906863)*5^x.
Why is the derivative of 5^x equal to (455321031/282906863)*5^x?▼
Because differentiation measures how a function changes — applying the rules to 5^x yields (455321031/282906863)*5^x. See the full step-by-step breakdown above.