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人気のある微分積分 >

derivative of ln(x+2-x+2)

解

\frac{d}{d x} (ln (x + 2) - x + 2)

解

\frac{1}{x + 2} - 1

解答ステップ

\frac{d}{d x} (ln (x + 2) - x + 2)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (ln (x + 2)) - \frac{d x}{d x} + \frac{d}{d x} (2)

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

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

= \frac{1}{x + 2} - 1 + 0

簡素化

= \frac{1}{x + 2} - 1

グラフ

人気の例

integral of 1/((1+u^2)^2)

\int \frac{1}{( 1 + u ^{2} ) ^{2}} d u

derivative of 1/4 sin(4x+c)

\frac{d}{d x} (\frac{1}{4} sin (4 x) + c)

(\partial)/(\partial x)(sqrt(3x^2+3y^2))

\frac{\partial}{\partial x} (3 x^{2} + 3 y^{2})

integral of (sin(2x))/(16+cos^2(x))

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tangent 6xy^9+5xy=11,(1,1)

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