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人気のある微分積分 >

d/(dt)(12+3t+4t^2)

解

\frac{d}{d t} (12 + 3 t + 4 t^{2})

解

8 t + 3

解答ステップ

\frac{d}{d t} (12 + 3 t + 4 t^{2})

和/差の法則を適用:

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

= \frac{d}{d t} (12) + \frac{d}{d t} (3 t) + \frac{d}{d t} (4 t^{2})

\frac{d}{d t} (12) = 0

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

\frac{d}{d t} (4 t^{2}) = 8 t

= 0 + 3 + 8 t

簡素化

= 8 t + 3

グラフ

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