derivative y=-2/(x^2)

解答

导数

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

\frac{4}{x ^{3}}

求解步骤

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

将常数提出:

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

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

使用指数法则:

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

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

使用幂法则:

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

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

化简

- 2 (- 2 x^{- 2 - 1}) : \frac{4}{x ^{3}}

= \frac{4}{x ^{3}}

d er i v a t i v e 2 sin (4 π (x + \frac{1}{8}))

\int \frac{x + 1}{x - 1} d x

x \to - 1 lim (8 x^{3})

a re a 4 x^{2}, x^{4} - 6 x^{2}, [- 3, 3]

x \to 0 lim (\frac{sin ( π + x )}{x})