derivative sqrt(3+5sin(s))

解

導関数

3 + 5 sin (s)

\frac{5 cos ( s )}{2 3 + 5 sin ( s )}

解答ステップ

\frac{d}{d s} (3 + 5 sin (s))

連鎖法則を適用:

\frac{1}{2 3 + 5 sin ( s )} \frac{d}{d s} (3 + 5 sin (s))

= \frac{1}{2 3 + 5 sin ( s )} \frac{d}{d s} (3 + 5 sin (s))

\frac{d}{d s} (3 + 5 sin (s)) = 5 cos (s)

= \frac{1}{2 3 + 5 sin ( s )} \cdot 5 cos (s)

簡素化

\frac{1}{2 3 + 5 sin ( s )} \cdot 5 cos (s) : \frac{5 cos ( s )}{2 3 + 5 sin ( s )}

= \frac{5 cos ( s )}{2 3 + 5 sin ( s )}