derivative y=3+(12)/(2-x)

解

導関数

y = 3 + \frac{12}{2 - x}

\frac{12}{( - x + 2 ) ^{2}}

解答ステップ

\frac{d}{d x} (3 + \frac{12}{2 - x})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3) + \frac{d}{d x} (\frac{12}{2 - x})

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

\frac{d}{d x} (\frac{12}{2 - x}) = \frac{12}{( 2 - x ) ^{2}}

= 0 + \frac{12}{( 2 - x ) ^{2}}

簡素化

= \frac{12}{( - x + 2 ) ^{2}}