derivative of sqrt((4x^3/9))

解

\frac{d}{d x} (\frac{4 x ^{3}}{9})

x

解答ステップ

\frac{d}{d x} (\frac{4 x ^{3}}{9})

連鎖法則を適用:

\frac{1}{2 \frac{4 x ^{3}}{9}} \frac{d}{d x} (\frac{4 x ^{3}}{9})

= \frac{1}{2 \frac{4 x ^{3}}{9}} \frac{d}{d x} (\frac{4 x ^{3}}{9})

\frac{d}{d x} (\frac{4 x ^{3}}{9}) = \frac{4 x ^{2}}{3}

= \frac{1}{2 \frac{4 x ^{3}}{9}} \cdot \frac{4 x ^{2}}{3}

簡素化

\frac{1}{2 \frac{4 x ^{3}}{9}} \cdot \frac{4 x ^{2}}{3} : x

= x