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人気のある微分積分 >

derivative F(s)=ln(ln(6s))

解

導関数

F (s) = ln (ln (6 s))

解

\frac{1}{s ln ( 6 s )}

解答ステップ

\frac{d}{d s} (ln (ln (6 s)))

連鎖法則を適用:

\frac{1}{ln ( 6 s )} \frac{d}{d s} (ln (6 s))

= \frac{1}{ln ( 6 s )} \frac{d}{d s} (ln (6 s))

\frac{d}{d s} (ln (6 s)) = \frac{1}{s}

= \frac{1}{ln ( 6 s )} \cdot \frac{1}{s}

簡素化

\frac{1}{ln ( 6 s )} \cdot \frac{1}{s} : \frac{1}{s ln ( 6 s )}

= \frac{1}{s ln ( 6 s )}

グラフ

人気の例

integral from 0 to pi/2 of sec(x)

\int_{0}^{\frac{π}{2}} sec (x) d x

limit as t approaches 0 of (tan(10t))/(sin(2t))

t \to 0 lim (\frac{tan ( 10 t )}{sin ( 2 t )})

derivative of x*e^{3x}

\frac{d}{d x} (x \cdot e^{3 x})

integral of 1/(6-x)

\int \frac{1}{6 - x} d x

(dx)/(dt)+3tx^3+x/t =0

\frac{d x}{d t} + 3 t x^{3} + \frac{x}{t} = 0