derivative of 2(x-3)

解答

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

2

求解步骤

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

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用微分加减法定则:

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

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

\frac{d x}{d x} = 1

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

= 2 (1 - 0)

化简

= 2