(\partial)/(\partial x)(2x+5y+3)

解答

\frac{\partial}{\partial x} (2 x + 5 y + 3)

2

求解步骤

\frac{\partial}{\partial x} (2 x + 5 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} (2 x) + \frac{\partial}{\partial x} (5 y) + \frac{\partial}{\partial x} (3)

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

\frac{\partial}{\partial x} (5 y) = 0

\frac{\partial}{\partial x} (3) = 0

= 2 + 0 + 0

化简

= 2

(y + 1) \frac{d y}{d x} = 2 x

a re a x^{3}, x^{5}

\int_{2}^{5} (1 - x^{2}) - (11 - 7 x) d x

\int \frac{1}{x ^{\frac{3}{4}}} d x

x \to 0 lim (2^{\frac{1}{2}})