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人気のある微分積分 >

(d^2)/(dx^2)((x^2-6x)/(x+1))

解

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} - 6 x}{x + 1})

解

\frac{14}{( x + 1 ) ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} - 6 x}{x + 1})

\frac{d}{d x} (\frac{x ^{2} - 6 x}{x + 1}) = \frac{x ^{2} + 2 x - 6}{( x + 1 ) ^{2}}

= \frac{d}{d x} (\frac{x ^{2} + 2 x - 6}{( x + 1 ) ^{2}})

\frac{d}{d x} (\frac{x ^{2} + 2 x - 6}{( x + 1 ) ^{2}}) = \frac{14}{( x + 1 ) ^{3}}

= \frac{14}{( x + 1 ) ^{3}}

人気の例

limit as x approaches 1 of ((x^{5/2}-2x^{3/2}+x^{1/2}))/(x-1)

x \to 1 lim \frac{( x ^{\frac{5}{2}} - 2 x ^{\frac{3}{2}} + x ^{\frac{1}{2}} )}{x - 1}

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\int 4 sec^{6} (t) d t

2y^{''}+19y^'-10y=0

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\frac{\partial}{\partial y} (e^{2 x} cos (2 y))