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Is the function defined, continuous and differentiable

  1. Sep 12, 2012 #1
    1. The problem statement, all variables and given/known data
    Graph the function defined by the following.
    B = {(r/r0)B0 for r ≤ r0
    {(r0/r)B0 for r > r0

    (a) Is B continuous at r = r0?
    yes no

    (b) Is B differentiable at r = r0?
    2. Relevant equations



    3. The attempt at a solution

    I'm not exactly sure what to do. I would use the definition of a derivative to do this, but I'm not sure if that's teh right approach.
     
  2. jcsd
  3. Sep 12, 2012 #2

    LCKurtz

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    What to do is start by following the instructions. It says "graph the function". Have you done that?
     
  4. Sep 12, 2012 #3
    How would i graph r0 or B0? Its those two variables that confuse me.
     
  5. Sep 12, 2012 #4

    LCKurtz

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    Pick a point on the ##r## axis and label it ##(r_0,0)##. Similarly, label some point on the ##B## axis ##(0,B_0)##. Then draw the graph.
     
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