derivative (10)/(x^2)

解答

导数

\frac{10}{x ^{2}}

- \frac{20}{x ^{3}}

求解步骤

\frac{d}{d x} (\frac{10}{x ^{2}})

将常数提出:

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

= 10 \frac{d}{d x} (\frac{1}{x ^{2}})

使用指数法则:

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

= 10 \frac{d}{d x} (x^{- 2})

使用幂法则:

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

= 10 (- 2 x^{- 2 - 1})

化简

10 (- 2 x^{- 2 - 1}) : - \frac{20}{x ^{3}}

= - \frac{20}{x ^{3}}

n = 0 \sum \infty \frac{6}{n ( n + 3 )}

f (t) = \frac{1}{t ^{2}}

t an g e n t f (x) = \frac{1}{1 + e ^{x}}, at x = 1

\int \frac{6 - 2 x}{8 - 4 x - 4 x ^{2}} d x

\frac{d}{d z} (sin (y z))