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

解答

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

2 x

求解步骤

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

\frac{\partial}{\partial x} (1) = 0

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

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

= 0 + 2 x + 0

化简

= 2 x