Derivada de 2^x
Answer
2^x*ln(2)
Derivative of 2^x
- Rule Used
- Exponential Rule
- Steps
- Recognize the exponential 2^x. For e^x the derivative equals the original function. For a^x the factor appears, because a^x = .
- Apply the rule and keep that constant factor.
- Final answer: 2^x*
La derivada de 2^x es 2^x*ln(2).
Solución paso a paso instantánea para 2^x
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Derivative of 2^x = 2^x*ln(2) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-2-x
Cómo encontrar la derivada de 2^x
Para encontrar la derivada de 2^x, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of 2^x?▼
The derivative of 2^x is 2^x*ln(2).
How do you find the derivative of 2^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is 2^x*ln(2).
Why is the derivative of 2^x equal to 2^x*ln(2)?▼
Because differentiation measures how a function changes — applying the rules to 2^x yields 2^x*ln(2). See the full step-by-step breakdown above.