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人気のある微分積分 >

d/(dt)(-4t^2+176t+100)

解

\frac{d}{d t} (- 4 t^{2} + 176 t + 100)

解

- 8 t + 176

解答ステップ

\frac{d}{d t} (- 4 t^{2} + 176 t + 100)

和/差の法則を適用:

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

= - \frac{d}{d t} (4 t^{2}) + \frac{d}{d t} (176 t) + \frac{d}{d t} (100)

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

\frac{d}{d t} (176 t) = 176

\frac{d}{d t} (100) = 0

= - 8 t + 176 + 0

簡素化

= - 8 t + 176

グラフ

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