(\partial)/(\partial x)(35e^{5x}y)

解答

\frac{\partial}{\partial x} (35 e^{5 x} y)

175 e^{5 x} y

求解步骤

\frac{\partial}{\partial x} (35 e^{5 x} y)

将

y

视为常数

将常数提出:

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

= 35 y \frac{\partial}{\partial x} (e^{5 x})

使用连锁律:

e^{5 x} \frac{\partial}{\partial x} (5 x)

= e^{5 x} \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= 35 y e^{5 x} \cdot 5

化简

= 175 e^{5 x} y

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