Derivada de 4^x

Answer

98361016⋅4x70952475\frac{98361016 \cdot 4^{x}}{70952475}
(98361016/70952475)*4^x

Derivative of 4^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 4^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: (98361016/70952475)*4^x

A derivada de 4^x é (98361016/70952475)*4^x.

Solução passo a passo instantânea para 4^x

Share this result
Share on X

Derivative of 4^x = (98361016/70952475)*4^x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-4-minus-to-minus-the-minus-x

Como encontrar a derivada de 4^x

Para encontrar a derivada de 4^x, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of 4^x?▼
The derivative of 4^x is (98361016/70952475)*4^x.
How do you find the derivative of 4^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (98361016/70952475)*4^x.
Why is the derivative of 4^x equal to (98361016/70952475)*4^x?▼
Because differentiation measures how a function changes — applying the rules to 4^x yields (98361016/70952475)*4^x. See the full step-by-step breakdown above.