derivative of (d/(dx(3))/x)

解

\frac{d}{d x} (\frac{\frac{d}{d x} ( 3 )}{x})

0

解答ステップ

\frac{d}{d x} (\frac{\frac{d}{d x} ( 3 )}{x})

商の法則を適用:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( \frac{d}{d x} ( 3 ) ) x - \frac{d x}{d x} \frac{d}{d x} ( 3 )}{x ^{2}}

\frac{d}{d x} (\frac{d}{d x} (3)) = 0

\frac{d}{d x} (3) = 0

\frac{d ^{2} x}{d x ^{2}} = 0

\frac{d}{d x} (3) = 0

= \frac{0 \cdot x - 0 \cdot 0}{x ^{2}}

簡素化

= 0