(\partial)/(\partial t)(ae^{kx+wt})

解答

\frac{\partial}{\partial t} (a e^{k x + wt})

a e^{k x + wt} w

求解步骤

\frac{\partial}{\partial t} (a e^{k x + wt})

将

a, k, x, w

视为常数

将常数提出:

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

= a \frac{\partial}{\partial t} (e^{k x + wt})

使用连锁律:

e^{k x + wt} \frac{\partial}{\partial t} (k x + wt)

= e^{k x + wt} \frac{\partial}{\partial t} (k x + wt)

\frac{\partial}{\partial t} (k x + wt) = w

= a e^{k x + wt} w

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