(\partial}{\partial L}(L^{1/4)/K ^{1/4})

解答

\frac{\partial}{\partial L} (L^{\frac{1}{4}} K^{\frac{1}{4}})

\frac{K ^{\frac{1}{4}}}{4 L ^{\frac{3}{4}}}

求解步骤

\frac{\partial}{\partial L} (L^{\frac{1}{4}} K^{\frac{1}{4}})

将常数提出:

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

= K^{\frac{1}{4}} \frac{\partial}{\partial L} (L^{\frac{1}{4}})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= K^{\frac{1}{4}} \frac{1}{4} L^{\frac{1}{4} - 1}

化简

K^{\frac{1}{4}} \frac{1}{4} L^{\frac{1}{4} - 1} : \frac{K ^{\frac{1}{4}}}{4 L ^{\frac{3}{4}}}

= \frac{K ^{\frac{1}{4}}}{4 L ^{\frac{3}{4}}}

a re a e^{(\frac{x}{4})}, x = 4, y = 1

a re a x^{2}, - 1 \leq x \leq 2

\int 8 t^{3} d t

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

x \to 1 + lim (\frac{x ^{2}}{∣ 1 - x ∣})