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人気のある微分積分 >

derivative of ln(3-x^2)

解

\frac{d}{d x} (ln (3 - x^{2}))

解

- \frac{2 x}{3 - x ^{2}}

解答ステップ

\frac{d}{d x} (ln (3 - x^{2}))

連鎖法則を適用:

\frac{1}{3 - x ^{2}} \frac{d}{d x} (3 - x^{2})

= \frac{1}{3 - x ^{2}} \frac{d}{d x} (3 - x^{2})

\frac{d}{d x} (3 - x^{2}) = - 2 x

= \frac{1}{3 - x ^{2}} (- 2 x)

簡素化

\frac{1}{3 - x ^{2}} (- 2 x) : - \frac{2 x}{3 - x ^{2}}

= - \frac{2 x}{3 - x ^{2}}

グラフ

人気の例

derivative of sqrt(24+x^2)

\frac{d}{d x} (24 + x^{2})

derivative of e^{(-1/x})

\frac{d}{d x} (e^{\frac{- 1}{x}})

limit as x approaches 0 of 10^x

x \to 0 lim (1 0^{x})

limit as x approaches 3 of (x^2-2)/(3-x)

x \to 3 lim (\frac{x ^{2} - 2}{3 - x})

tangent y=(x^3-4x)^{10}

t an g e n t y = (x^{3} - 4 x)^{10}