Very basic question on derivative notation

  • Thread starter ledphones
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  • #1
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Main Question or Discussion Point

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
 
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Answers and Replies

  • #2
jhae2.718
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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]
 
  • #3
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Thank you!
 

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