(\partial)/(\partial x)(x^2+(y-1)^2)

解答

\frac{\partial}{\partial x} (x^{2} + (y - 1)^{2})

2 x

求解步骤

\frac{\partial}{\partial x} (x^{2} + (y - 1)^{2})

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} (x^{2}) + \frac{\partial}{\partial x} ((y - 1)^{2})

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

\frac{\partial}{\partial x} ((y - 1)^{2}) = 0

= 2 x + 0

化简

= 2 x

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t an g e n t y = 10 x sin (x)

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