(\partial)/(\partial x)(7y^6x^6-6y^5x^5)

解答

\frac{\partial}{\partial x} (7 y^{6} x^{6} - 6 y^{5} x^{5})

42 y^{6} x^{5} - 30 y^{5} x^{4}

求解步骤

\frac{\partial}{\partial x} (7 y^{6} x^{6} - 6 y^{5} x^{5})

将

y

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial x} (7 y^{6} x^{6}) - \frac{\partial}{\partial x} (6 y^{5} x^{5})

\frac{\partial}{\partial x} (7 y^{6} x^{6}) = 42 y^{6} x^{5}

\frac{\partial}{\partial x} (6 y^{5} x^{5}) = 30 y^{5} x^{4}

= 42 y^{6} x^{5} - 30 y^{5} x^{4}

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