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人気のある微分積分 >

derivative of sqrt(8x+1)

解

\frac{d}{d x} (8 x + 1)

解

\frac{4}{8 x + 1}

解答ステップ

\frac{d}{d x} (8 x + 1)

連鎖法則を適用:

\frac{1}{2 8 x + 1} \frac{d}{d x} (8 x + 1)

= \frac{1}{2 8 x + 1} \frac{d}{d x} (8 x + 1)

\frac{d}{d x} (8 x + 1) = 8

= \frac{1}{2 8 x + 1} \cdot 8

簡素化

\frac{1}{2 8 x + 1} \cdot 8 : \frac{4}{8 x + 1}

= \frac{4}{8 x + 1}

グラフ

人気の例

integral from 0 to 2 of (x+2)^2

\int_{0}^{2} (x + 2)^{2} d x

derivative of sinh(ln(x))

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

limit as x approaches 1-of (x-1)/(x+1)

x \to 1 - lim (\frac{x - 1}{x + 1})

f (x) = \frac{x}{10}

limit as x approaches infinity of 1/x-4

x \to \infty lim (\frac{1}{x} - 4)