derivative of (-2/x)

解答

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

\frac{2}{x ^{2}}

求解步骤

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

化简

\frac{- 2}{x} : - \frac{2}{x}

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

将常数提出:

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

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

使用指数法则:

\frac{1}{a} = a^{- 1}

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

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - 2 (- 1 \cdot x^{- 1 - 1})

化简

- 2 (- 1 \cdot x^{- 1 - 1}) : \frac{2}{x ^{2}}

= \frac{2}{x ^{2}}

\int \frac{x}{x ^{2} - 16} d x

d er i v a t i v e f (x) = x (x^{2} + 1)

d er i v a t i v e (\frac{x}{x - 1})^{x}

y^{^{''}} + 4 y^{^{'}} - 45 y = 0

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