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人気のある微分積分 >

derivative t^3-12t^2+36t

解

導関数

t^{3} - 12 t^{2} + 36 t

解

3 t^{2} - 24 t + 36

解答ステップ

\frac{d}{d t} (t^{3} - 12 t^{2} + 36 t)

和/差の法則を適用:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (12 t^{2}) + \frac{d}{d t} (36 t)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (12 t^{2}) = 24 t

\frac{d}{d t} (36 t) = 36

= 3 t^{2} - 24 t + 36

グラフ

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