derivative-2/(5x)

解答

导数

- \frac{2}{5 x}

\frac{2}{5 x ^{2}}

求解步骤

\frac{d}{d x} (- \frac{2}{5 x})

将常数提出:

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

= - \frac{2}{5} \frac{d}{d x} (\frac{1}{x})

使用指数法则:

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

= - \frac{2}{5} \frac{d}{d x} (x^{- 1})

使用幂法则:

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

= - \frac{2}{5} (- 1 \cdot x^{- 1 - 1})

化简

- \frac{2}{5} (- 1 \cdot x^{- 1 - 1}) : \frac{2}{5 x ^{2}}

= \frac{2}{5 x ^{2}}

t an g e n t f (x) = 3 x + 6 x, (1, 9)

\int_{5}^{\infty} e^{- \frac{x}{3}} d x

\int \frac{2 x}{9 - x ^{2}} d x

p a r i t y - x + tan (x)

\int_{1}^{6} 2 d x