d/(dt)((s)(s-2))

解答

\frac{d}{d t} ((t) (t - 2))

2 t - 2

求解步骤

\frac{d}{d t} ((t) (t - 2))

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = t - 2

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

\frac{d t}{d t} = 1

\frac{d}{d t} (t - 2) = 1

= 1 \cdot (t - 2) + 1 \cdot t

化简

1 \cdot (t - 2) + 1 \cdot t : 2 t - 2

= 2 t - 2

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