Derivada de x*e^(11*x)
Answer
11*e^(11*x)*x+e^(11*x)
Derivative of x*e^(11*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^(11*x) es 11*e^(11*x)*x+e^(11*x).
Solución paso a paso instantánea para x*e^(11*x)
Share this result
Derivative of x*e^(11*x) = 11*e^(11*x)*x+e^(11*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-xe-minus-to-minus-the-minus-11x
Cómo encontrar la derivada de x*e^(11*x)
Para encontrar la derivada de x*e^(11*x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1-x
Resolver d/dx 1-x
Derivada de 1/x
Resolver d/dx 1/x
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Frequently Asked Questions
What is the derivative of x*e^(11*x)?▼
The derivative of x*e^(11*x) is 11*e^(11*x)*x+e^(11*x).
How do you find the derivative of x*e^(11*x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 11*e^(11*x)*x+e^(11*x).
Why is the derivative of x*e^(11*x) equal to 11*e^(11*x)*x+e^(11*x)?▼
Because differentiation measures how a function changes — applying the rules to x*e^(11*x) yields 11*e^(11*x)*x+e^(11*x). See the full step-by-step breakdown above.