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*
A derivada de 2^x é 2^x*ln(2).
Solução passo a passo instantânea para 2^x
Share this result
Derivative of 2^x = 2^x*ln(2) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-2-minus-to-minus-the-minus-x
Como encontrar a derivada de 2^x
Para encontrar a derivada de 2^x, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Derivada de sec(x)
Resolver d/dx sec(x)
Derivada de sin(2x)
Resolver d/dx sin(2x)
Derivada de sin(x)^2
Resolver d/dx sin(x)^2
Derivada de sin(x)
Resolver d/dx sin(x)
Derivada de sinh(x)
Resolver d/dx sinh(x)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de tan(x)^2
Resolver d/dx tan(x)^2
Derivada de tan(x)
Resolver d/dx tan(x)
Derivada de tanh(x)
Resolver d/dx tanh(x)
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.