(\partial)/(\partial x)(3x^2+2xy^3)

解答

\frac{\partial}{\partial x} (3 x^{2} + 2 x y^{3})

6 x + 2 y^{3}

求解步骤

\frac{\partial}{\partial x} (3 x^{2} + 2 x y^{3})

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} (3 x^{2}) + \frac{\partial}{\partial x} (2 x y^{3})

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

\frac{\partial}{\partial x} (2 x y^{3}) = 2 y^{3}

= 6 x + 2 y^{3}

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