(\partial)/(\partial y)((xy)/(cos(x)))

解答

\frac{\partial}{\partial y} (\frac{x y}{cos ( x )})

x sec (x)

求解步骤

\frac{\partial}{\partial y} (\frac{x y}{cos ( x )})

化简

\frac{x y}{cos ( x )} : x y sec (x)

= \frac{\partial}{\partial y} (x y sec (x))

将

x

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= x sec (x) \frac{\partial}{\partial y} (y)

使用常见微分定则:

\frac{\partial}{\partial y} (y) = 1

= x sec (x) \cdot 1

化简

= x sec (x)

in v erse l a pl a ce s^{2} + 4 s + 13

\frac{\partial}{\partial z} (cos (z) w (z))

\frac{d y}{d t} = 2 (1 - y), y (0) = 0

t an g e n t y = \frac{8 x}{x ^{2} + 1}, (0, 0)

(x^{4} + 1) d y + x (1 + 4 y^{2}) d x = 0