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Popular Cálculo >

(\partial)/(\partial y)(x^6-8x^5y)

Solución

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)

Solución

- 8 x^{5}

Pasos de solución

\frac{\partial}{\partial y} (x^{6} - 8 x^{5} y)

Tratar

x

como constante

Aplicar la regla de la suma/diferencia:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (x^{6}) - \frac{\partial}{\partial y} (8 x^{5} y)

\frac{\partial}{\partial y} (x^{6}) = 0

\frac{\partial}{\partial y} (8 x^{5} y) = 8 x^{5}

= 0 - 8 x^{5}

Simplificar

= - 8 x^{5}

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límite cuando x tiende a 0 de ((tan(2x)))/x

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d er i v a t i v e 7 x + 1

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\frac{d}{d x} (6 arcsinh (tan (x)))