Derivada de e^(6x)
Answer
6*e^(6*x)
Derivative of e^(6x)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer:
La derivada de e^(6*x) es 6*e^(6*x).
Solución paso a paso instantánea para e^(6x)
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Derivative of e^(6x) = 6*e^(6*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-e-minus-to-minus-the-minus-6x
Cómo encontrar la derivada de e^(6x)
Para encontrar la derivada de e^(6x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of e^(6x)?▼
The derivative of e^(6x) is 6*e^(6*x).
How do you find the derivative of e^(6x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*e^(6*x).
Why is the derivative of e^(6x) equal to 6*e^(6*x)?▼
Because differentiation measures how a function changes — applying the rules to e^(6x) yields 6*e^(6*x). See the full step-by-step breakdown above.