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人気のある微分積分 >

derivative y=8x^3-5x^2-x/(12)

解

導関数

y = 8 x^{3} - 5 x^{2} - \frac{x}{12}

解

24 x^{2} - 10 x - \frac{1}{12}

解答ステップ

\frac{d}{d x} (8 x^{3} - 5 x^{2} - \frac{x}{12})

和/差の法則を適用:

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

= \frac{d}{d x} (8 x^{3}) - \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (\frac{x}{12})

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (\frac{x}{12}) = \frac{1}{12}

= 24 x^{2} - 10 x - \frac{1}{12}

グラフ

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