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人気のある微分積分 >

derivative of 3/(x^2+1/x)

解

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

解

- \frac{6}{x ^{3}} - \frac{1}{x ^{2}}

解答ステップ

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

和/差の法則を適用:

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

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

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

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

= - \frac{6}{x ^{3}} - \frac{1}{x ^{2}}

グラフ

人気の例

integral of 1/(sqrt(x^2-2x+10))

\int \frac{1}{x ^{2} - 2 x + 10} d x

49y^{''}+28y^'+4y=0

49 y^{^{''}} + 28 y^{^{'}} + 4 y = 0

16y^{''}-40y^'+25y=0,y(0)=3,y^'(0)=-94

16 y^{^{''}} - 40 y^{^{'}} + 25 y = 0, y (0) = 3, y^{^{'}} (0) = - 94

limit as x approaches 0 of x*sin(pi/x)

x \to 0 lim (x \cdot sin (\frac{π}{x}))

m = \frac{9}{5 + h} - \frac{9}{5}