Derivada de 15^x

Answer

160063399⋅15x59106511\frac{160063399 \cdot 15^{x}}{59106511}
(160063399/59106511)*15^x

Derivative of 15^x

Rule Used
Exponential Rule
Steps
  1. Recognize the exponential 15^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: (160063399/59106511)*15^x

A derivada de 15^x é (160063399/59106511)*15^x.

Solução passo a passo instantânea para 15^x

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Derivative of 15^x = (160063399/59106511)*15^x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-15-minus-to-minus-the-minus-x

Como encontrar a derivada de 15^x

Para encontrar a derivada de 15^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 15^x?▼
The derivative of 15^x is (160063399/59106511)*15^x.
How do you find the derivative of 15^x?▼
Apply the standard differentiation rules — the key rule used here is the Exponential Rule. The step-by-step result is (160063399/59106511)*15^x.
Why is the derivative of 15^x equal to (160063399/59106511)*15^x?▼
Because differentiation measures how a function changes — applying the rules to 15^x yields (160063399/59106511)*15^x. See the full step-by-step breakdown above.