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Very basic question on derivative notation

  1. Sep 4, 2013 #1
    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
    Last edited: Sep 4, 2013
  2. jcsd
  3. Sep 4, 2013 #2


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    Gold Member

    The derivative is a linear operator, so the following properties hold:
    1. [itex]\displaystyle\frac{\text{d}}{\text{d}t}\!\left(\alpha x\right) = \alpha\dot{x}[/itex]
    2. [itex]\displaystyle\frac{\text{d}}{\text{d}t}\!\left(x_1 + x_2\right) = \dot{x}_1 + \dot{x}_2[/itex]
  4. Sep 4, 2013 #3
    Thank you!
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