(\partial)/(\partial x)(ln(x-y))

解答

\frac{\partial}{\partial x} (ln (x - y))

\frac{1}{x - y}

求解步骤

\frac{\partial}{\partial x} (ln (x - y))

将

y

视为常数

使用连锁律:

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

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

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

= \frac{1}{x - y} \cdot 1

化简

= \frac{1}{x - y}

\int \frac{cos ( x )}{sin ^{2} ( x ) + sin ( x )} d x

d y = (y + 2 x - 3) d x

x \to - 0.87 lim ((x^{3} - x) x^{2})

\int (3 x^{5}) d x

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