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人気のある微分積分 >

derivative P(t)=-5t^2+75t-30

解

導関数

P (t) = - 5 t^{2} + 75 t - 30

解

- 10 t + 75

解答ステップ

\frac{d}{d t} (- 5 t^{2} + 75 t - 30)

和/差の法則を適用:

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

= - \frac{d}{d t} (5 t^{2}) + \frac{d}{d t} (75 t) - \frac{d}{d t} (30)

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

\frac{d}{d t} (75 t) = 75

\frac{d}{d t} (30) = 0

= - 10 t + 75 - 0

簡素化

= - 10 t + 75

グラフ

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