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

解答

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

2 x

求解步骤

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

将

y, z

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^{2}) + \frac{\partial}{\partial x} (z)

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

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

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

= 2 x + 0 + 0

化简

= 2 x

t \to 1 lim ((3 t - 1) (5 t^{2} + 2))

\frac{d}{d x} (sin (x) ln (9 x))

\frac{\partial}{\partial x} (e^{s i n^{2} (x)})

\int_{0}^{1} 3^{3 x} d x

d er i v a t i v e \frac{1}{y ^{2}} - \frac{5}{y ^{4}} (y + 9 y^{3})