derivative t^3-3t

解答

导数

t^{3} - 3 t

3 t^{2} - 3

求解步骤

\frac{d}{d t} (t^{3} - 3 t)

使用微分加减法定则:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (3 t)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (3 t) = 3

= 3 t^{2} - 3

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