derivative of x^2+3*sqrt(x)

解答

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

2 x + \frac{3}{2 x}

求解步骤

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

使用微分加减法定则:

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

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

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

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

= 2 x + \frac{3}{2 x}