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人気のある微分積分 >

derivative of (x^3-5x^2-36x/(x^2+4x))

解

\frac{d}{d x} (\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x})

解

1

解答ステップ

\frac{d}{d x} (\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x})

簡素化

\frac{x ^{3} - 5 x ^{2} - 36 x}{x ^{2} + 4 x} : x - 9

= \frac{d}{d x} (x - 9)

和/差の法則を適用:

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

= \frac{d x}{d x} - \frac{d}{d x} (9)

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

\frac{d}{d x} (9) = 0

= 1 - 0

簡素化

= 1

グラフ

人気の例

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