(\partial)/(\partial x)(1/(tan(xy)))

解答

\frac{\partial}{\partial x} (\frac{1}{tan ( x y )})

- csc^{2} (x y) y

求解步骤

\frac{\partial}{\partial x} (\frac{1}{tan ( x y )})

化简

\frac{1}{tan ( x y )} : cot (x y)

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

将

y

视为常数

使用连锁律:

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

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

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

= - csc^{2} (x y) y

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

\frac{\partial}{\partial x} (e^{- 2 x} \cdot cos (2 y))

\int \frac{5 x - 3}{x ^{2} - 1} d x

t an g e n t y = \frac{6}{x}

\int 7 (sin (x))^{4} (cos (x))^{2} d x