derivative of (4x/(5sqrt(2))+3)

解答

\frac{d}{d x} (\frac{4 x}{5 2} + 3)

\frac{2 2}{5}

十进制

0.56568 \dots

求解步骤

\frac{d}{d x} (\frac{4 x}{5 2} + 3)

化简

\frac{4 x}{5 2} + 3 : \frac{2 ^{\frac{3}{2}} x}{5} + 3

= \frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5} + 3)

使用微分加减法定则:

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

= \frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5}) + \frac{d}{d x} (3)

\frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5}) = \frac{2 2}{5}

\frac{d}{d x} (3) = 0

= \frac{2 2}{5} + 0

化简

= \frac{2 2}{5}