derivative 0.1e^{0.5061(t)}

解答

导数

0.1 e^{0.5061 (t)}

0.05061 e^{0.5061 t}

求解步骤

\frac{d}{d t} (0.1 e^{0.5061 t})

将常数提出:

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

= 0.1 \frac{d}{d t} (e^{0.5061 t})

使用连锁律:

e^{0.5061 t} \frac{d}{d t} (0.5061 t)

= e^{0.5061 t} \frac{d}{d t} (0.5061 t)

\frac{d}{d t} (0.5061 t) = 0.5061

= 0.1 e^{0.5061 t} \cdot 0.5061

化简

= 0.05061 e^{0.5061 t}

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