derivative of-ln(x-2)

解答

\frac{d}{d x} (- ln (x - 2))

- \frac{1}{x - 2}

求解步骤

\frac{d}{d x} (- ln (x - 2))

将常数提出:

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

= - \frac{d}{d x} (ln (x - 2))

使用连锁律:

\frac{1}{x - 2} \frac{d}{d x} (x - 2)

= \frac{1}{x - 2} \frac{d}{d x} (x - 2)

\frac{d}{d x} (x - 2) = 1

= - \frac{1}{x - 2} \cdot 1

化简

= - \frac{1}{x - 2}

\int \frac{( x ^{2} - x + 8 )}{x ^{3} + 2 x} d x

6 t (\frac{d y}{d t}) + 5 y = t

\frac{\partial}{\partial w} (\frac{w}{h ( w ) ^{2}})

\int_{0}^{2} (x) d x

\int e^{2 θ} + e^{2 θ} d θ