derivative 3600(1-t/(60))^2

解

導関数

3600 (1 - \frac{t}{60})^{2}

2 t - 120

解答ステップ

\frac{d}{d t} (3600 (1 - \frac{t}{60})^{2})

簡素化

3600 (1 - \frac{t}{60})^{2} : 3600 - 120 t + t^{2}

= \frac{d}{d t} (3600 - 120 t + t^{2})

和/差の法則を適用:

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

= \frac{d}{d t} (3600) - \frac{d}{d t} (120 t) + \frac{d}{d t} (t^{2})

\frac{d}{d t} (3600) = 0

\frac{d}{d t} (120 t) = 120

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

= 0 - 120 + 2 t

簡素化

= 2 t - 120