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人気のある微分積分 >

derivative of log_{e}(x+1)

解

\frac{d}{d x} (lo g_{e} (x + 1))

解

\frac{1}{x + 1}

解答ステップ

\frac{d}{d x} (lo g_{e} (x + 1))

簡素化

lo g_{e} (x + 1) : ln (x + 1)

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

連鎖法則を適用:

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

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

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

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

簡素化

= \frac{1}{x + 1}

グラフ

人気の例

integral of 1/(cos(θ)-1)

\int \frac{1}{cos ( θ ) - 1} d θ

y^{'''}-9y^{''}+15y^'+25y=0

y^{^{'''}} - 9 y^{^{''}} + 15 y^{^{'}} + 25 y = 0

(\partial)/(\partial x)(x/v)

\frac{\partial}{\partial x} (\frac{x}{v})

limit as x approaches 8+of (|x-8|)/(x-8)

x \to 8 + lim (\frac{∣ x - 8 ∣}{x - 8})

derivative of (5x^3-7/x)

\frac{d}{d x} (\frac{5 x ^{3} - 7}{x})