Derivada de x*ln(x)*sin(x)
Answer
cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x)
Derivative of x*ln(x)*sin(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*ln(x)*sin(x) es cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x).
Solución paso a paso instantánea para x*ln(x)*sin(x)
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Derivative of x*ln(x)*sin(x) = cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-xlnxsinx
Cómo encontrar la derivada de x*ln(x)*sin(x)
Para encontrar la derivada de x*ln(x)*sin(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*ln(x)*sin(x)?▼
The derivative of x*ln(x)*sin(x) is cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x).
How do you find the derivative of x*ln(x)*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x).
Why is the derivative of x*ln(x)*sin(x) equal to cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x)?▼
Because differentiation measures how a function changes — applying the rules to x*ln(x)*sin(x) yields cos(x)*ln(x)*x+ln(x)*sin(x)+sin(x). See the full step-by-step breakdown above.