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人気のある微分積分 >

(ln(1/x))^'

解

(ln (\frac{1}{x}))^{^{'}}

解

- \frac{1}{x}

解答ステップ

(ln (\frac{1}{x}))^{'}

簡素化

ln (\frac{1}{x}) : - ln (x)

= (- ln (x))^{^{'}}

定数を除去:

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

= - (ln (x))^{^{'}}

共通の導関数を適用:

(ln (x))^{'} = \frac{1}{x}

= - \frac{1}{x}

グラフ

人気の例

tangent 6sqrt(x)

t an g e n t 6 x

d/(dp)(((10p^{0.25}+1))/(p^{0.25)})

\frac{d}{d p} (\frac{( 10 p ^{0.25} + 1 )}{p ^{0.25}})

integral from 2 to 4 of x^2((2x-3))/6

\int_{2}^{4} x^{2} \frac{( 2 x - 3 )}{6} d x

limit as x approaches 2+of ax^2-bx+3

x \to 2 + lim (a x^{2} - b x + 3)

integral from 0 to 2 of integral from 0 to 1 of xye^{xy^2}

\int_{0}^{2} \int_{0}^{1} x y e^{x y^{2}} d y d x