Derivada de x*e^(10*x)
Answer
10*e^(10*x)*x+e^(10*x)
Derivative of x*e^(10*x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in x*: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: *x+
La derivada de x*e^(10*x) es 10*e^(10*x)*x+e^(10*x).
Solución paso a paso instantánea para x*e^(10*x)
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Derivative of x*e^(10*x) = 10*e^(10*x)*x+e^(10*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-xe-minus-to-minus-the-minus-10x
Cómo encontrar la derivada de x*e^(10*x)
Para encontrar la derivada de x*e^(10*x), 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 x*e^(10*x)?▼
The derivative of x*e^(10*x) is 10*e^(10*x)*x+e^(10*x).
How do you find the derivative of x*e^(10*x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 10*e^(10*x)*x+e^(10*x).
Why is the derivative of x*e^(10*x) equal to 10*e^(10*x)*x+e^(10*x)?▼
Because differentiation measures how a function changes — applying the rules to x*e^(10*x) yields 10*e^(10*x)*x+e^(10*x). See the full step-by-step breakdown above.