Very basic question on derivative notation

[ledphones]

could B d/dt (x₁ -x₂) be equal to B (dot{x}₁ - dot{x} ₂)? Thank you!

dot{x} is supposed to be a "dot" over a x. Just a formatting problem

 

[jhae2.718]

The derivative is a linear operator, so the following properties hold:

1. $\displaystyle\frac{\text{d}}{\text{d}t}\!\left(\alpha x\right) = \alpha\dot{x}$
2. $\displaystyle\frac{\text{d}}{\text{d}t}\!\left(x_1 + x_2\right) = \dot{x}_1 + \dot{x}_2$

 

[ledphones]

Thank you!