d/(dt)((C)(8000+2x(C,t)))

解答

\frac{d}{d t} ((C) (8000 + 2 x (C, t)))

C (0 + 2 \frac{d}{d t} (x (C, t)))

求解步骤

\frac{d}{d t} ((C) (8000 + 2 x (C, t)))

将

C

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= C \frac{d}{d t} (8000 + 2 x (C, t))

使用微分加减法定则:

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

= C (\frac{d}{d t} (8000) + \frac{d}{d t} (2 x (C, t)))

\frac{d}{d t} (8000) = 0

\frac{d}{d t} (2 x (C, t)) = 2 \frac{d}{d t} (x (C, t))

= C (0 + 2 \frac{d}{d t} (x (C, t)))

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