Derivada de x*e^x*sin(x)

Answer

325368125sin⁡⋅x⋅sin⁡⋅x2119696244sin⁡⋅x+2e\sinxx\frac{325368125^{\sin \cdot x} \cdot \sin \cdot x^{2}}{119696244^{\sin \cdot x}}+2e^{\sinx}x
119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x

Derivative of x*e^x*sin(x)

Rule Used
Product Rule
Steps
  1. Identify a product of two functions of x in x*ex⋅sin⁡e^{x \cdot \sin}(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.
  2. Differentiate each factor and combine.
  3. Final answer: 119696244^(-sin*x)*325368125^(sin*x)*sin*x2x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x

A derivada de x*e^x*sin(x) é 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x.

Solução passo a passo instantânea para x*e^x*sin(x)

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Derivative of x*e^x*sin(x) = 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-xe-minus-to-minus-the-minus-xsinx

Como encontrar a derivada de x*e^x*sin(x)

Para encontrar a derivada de x*e^x*sin(x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

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Frequently Asked Questions

What is the derivative of x*e^x*sin(x)?▼
The derivative of x*e^x*sin(x) is 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x.
How do you find the derivative of x*e^x*sin(x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x.
Why is the derivative of x*e^x*sin(x) equal to 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x?▼
Because differentiation measures how a function changes — applying the rules to x*e^x*sin(x) yields 119696244^(-sin*x)*325368125^(sin*x)*sin*x^2+2*119696244^(-sin*x)*325368125^(sin*x)*x. See the full step-by-step breakdown above.

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