Derivada de 8^x

Answer

49180508⋅8x23650825\frac{49180508 \cdot 8^{x}}{23650825}
(49180508/23650825)*8^x

Derivative of 8^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 8^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: (49180508/23650825)*8^x

A derivada de 8^x é (49180508/23650825)*8^x.

Solução passo a passo instantânea para 8^x

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Derivative of 8^x = (49180508/23650825)*8^x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-8-minus-to-minus-the-minus-x

Como encontrar a derivada de 8^x

Para encontrar a derivada de 8^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 8^x?▼
The derivative of 8^x is (49180508/23650825)*8^x.
How do you find the derivative of 8^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (49180508/23650825)*8^x.
Why is the derivative of 8^x equal to (49180508/23650825)*8^x?▼
Because differentiation measures how a function changes — applying the rules to 8^x yields (49180508/23650825)*8^x. See the full step-by-step breakdown above.