(\partial)/(\partial y)(4e^xln(y))

解答

\frac{\partial}{\partial y} (4 e^{x} ln (y))

\frac{4 e ^{x}}{y}

求解步骤

\frac{\partial}{\partial y} (4 e^{x} ln (y))

将

x

视为常数

将常数提出:

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

= 4 e^{x} \frac{\partial}{\partial y} (ln (y))

使用常见微分定则:

\frac{\partial}{\partial y} (ln (y)) = \frac{1}{y}

= 4 e^{x} \frac{1}{y}

化简

4 e^{x} \frac{1}{y} : \frac{4 e ^{x}}{y}

= \frac{4 e ^{x}}{y}

\frac{d}{d x} (x - \frac{1}{x})

\frac{d y}{d x} = e^{4 x - y}

\frac{d}{d x} (- x^{4})

h \to 0 lim (\frac{( - 4 + h ) + 4}{h})

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