Derivada de x^2e^xcos(x)

Answer

\frac{325368125^{\cos \cdot x} \cdot \cos \cdot x^{3}}{119696244^{\cos \cdot x}}+\frac{3 \cdot 325368125^{\cos \cdot x} \cdot x^{2}}{119696244^{\cos \cdot x}}

Derivative of x^2e^xcos(x)

Rule Used: Product Rule
Steps: Identify a product of two functions of x in $x^2$ * $e^{x \cdot \cos}$ (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: 119696244^(-cos*x)*325368125^(cos*x)*cos* $x^3$ +3*119696244^(-cos*x)*325368125^(cos*x)* $x^2$

A derivada de x^2*e^x*cos(x) é 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2.

Solução passo a passo instantânea para x^2*e^x*cos(x)

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Derivative of x^2*e^x*cos(x) = 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-2e-minus-to-minus-the-minus-xcosx

Como encontrar a derivada de x^2e^xcos(x)

Para encontrar a derivada de x^2*e^x*cos(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^2*e^x*cos(x)?▼

The derivative of x^2*e^x*cos(x) is 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2.

How do you find the derivative of x^2*e^x*cos(x)?▼

Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2.

Why is the derivative of x^2*e^x*cos(x) equal to 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2?▼

Because differentiation measures how a function changes — applying the rules to x^2*e^x*cos(x) yields 119696244^(-cos*x)*325368125^(cos*x)*cos*x^3+3*119696244^(-cos*x)*325368125^(cos*x)*x^2. See the full step-by-step breakdown above.

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Derivada de x^2*e^x*cos(x)

Derivative of x^2*e^x*cos(x)

Como encontrar a derivada de x^2*e^x*cos(x)