Derivada de 9^x

Answer

210545501⋅9x95823387\frac{210545501 \cdot 9^{x}}{95823387}
(210545501/95823387)*9^x

Derivative of 9^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 9^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: (210545501/95823387)*9^x

A derivada de 9^x é (210545501/95823387)*9^x.

Solução passo a passo instantânea para 9^x

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Derivative of 9^x = (210545501/95823387)*9^x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-9-minus-to-minus-the-minus-x

Como encontrar a derivada de 9^x

Para encontrar a derivada de 9^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 9^x?▼
The derivative of 9^x is (210545501/95823387)*9^x.
How do you find the derivative of 9^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (210545501/95823387)*9^x.
Why is the derivative of 9^x equal to (210545501/95823387)*9^x?▼
Because differentiation measures how a function changes — applying the rules to 9^x yields (210545501/95823387)*9^x. See the full step-by-step breakdown above.