derivative of 3x^2+(8x/3-2)

解

\frac{d}{d x} (3 x^{2} + \frac{8 x}{3} - 2)

6 x + \frac{8}{3}

解答ステップ

\frac{d}{d x} (3 x^{2} + \frac{8 x}{3} - 2)

和/差の法則を適用:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (\frac{8 x}{3}) - \frac{d}{d x} (2)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (\frac{8 x}{3}) = \frac{8}{3}

\frac{d}{d x} (2) = 0

= 6 x + \frac{8}{3} - 0

簡素化

= 6 x + \frac{8}{3}