derivative f(x)=sqrt(4x-3)

解

derivative

\frac{2}{4 x - 3}

解答ステップ

\frac{d}{d x} (4 x - 3)

連鎖法則を適用:

\frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

= \frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{2 4 x - 3} \cdot 4

簡素化

\frac{1}{2 4 x - 3} \cdot 4 : \frac{2}{4 x - 3}

= \frac{2}{4 x - 3}