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Popular >

derivada de x^3y^4

Solución

\frac{d}{d x} (x^{3} y^{4})

Solución

3 x^{2} y^{4} + 4 y^{3} \frac{d y}{d x} x^{3}

Pasos de solución

\frac{d}{d x} (x^{3} y^{4})

Aplicar la regla del producto:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = y^{4}

= \frac{d}{d x} (x^{3}) y^{4} + \frac{d}{d x} (y^{4}) x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (y^{4}) = 4 y^{3} \frac{d y}{d x}

= 3 x^{2} y^{4} + 4 y^{3} \frac{d y}{d x} x^{3}

Ejemplos populares

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f (x) = \frac{x ^{2}}{x - 1}

integral de 4xsqrt(1-x^2)

\int 4 x 1 - x^{2} d x

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