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人気のある微分積分 >

derivative of ln(17x)

解

\frac{d}{d x} (ln (17 x))

解

\frac{1}{x}

解答ステップ

\frac{d}{d x} (ln (17 x))

連鎖法則を適用:

\frac{1}{17 x} \frac{d}{d x} (17 x)

= \frac{1}{17 x} \frac{d}{d x} (17 x)

\frac{d}{d x} (17 x) = 17

= \frac{1}{17 x} \cdot 17

簡素化

\frac{1}{17 x} \cdot 17 : \frac{1}{x}

= \frac{1}{x}

グラフ

人気の例

limit as x approaches-5 of 3x-|x+5|

x \to - 5 lim (3 x - ∣ x + 5 ∣)

勾配 y= 1/(x-2),\at x=5

s l o p e y = \frac{1}{x - 2}, at x = 5

integral from 0 to 3 of ln(x+1)

\int_{0}^{3} ln (x + 1) d x

integral of (1-x)^n

\int (1 - x)^{n} d x

sum from n=0 to infinity of e^{-5n}

n = 0 \sum \infty e^{- 5 n}