derivative y=8e^{17t}

解答

导数

y = 8 e^{17 t}

136 e^{17 t}

求解步骤

\frac{d}{d t} (8 e^{17 t})

将常数提出:

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

= 8 \frac{d}{d t} (e^{17 t})

使用连锁律:

e^{17 t} \frac{d}{d t} (17 t)

= e^{17 t} \frac{d}{d t} (17 t)

\frac{d}{d t} (17 t) = 17

= 8 e^{17 t} \cdot 17

化简

= 136 e^{17 t}

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