derivative of sqrt((x+1(x+2)))

解

\frac{d}{d x} ((x + 1) (x + 2))

\frac{2 x + 3}{2 ( x + 1 ) ( x + 2 )}

解答ステップ

\frac{d}{d x} ((x + 1) (x + 2))

連鎖法則を適用:

\frac{1}{2 ( x + 1 ) ( x + 2 )} \frac{d}{d x} ((x + 1) (x + 2))

= \frac{1}{2 ( x + 1 ) ( x + 2 )} \frac{d}{d x} ((x + 1) (x + 2))

\frac{d}{d x} ((x + 1) (x + 2)) = 2 x + 3

= \frac{1}{2 ( x + 1 ) ( x + 2 )} (2 x + 3)

簡素化

\frac{1}{2 ( x + 1 ) ( x + 2 )} (2 x + 3) : \frac{2 x + 3}{2 ( x + 1 ) ( x + 2 )}

= \frac{2 x + 3}{2 ( x + 1 ) ( x + 2 )}