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Is the function defined, continuous and differentiable

  • Thread starter Painguy
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  • #1
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Homework Statement


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?

Homework Equations





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.
 

Answers and Replies

  • #2
LCKurtz
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What to do is start by following the instructions. It says "graph the function". Have you done that?
 
  • #3
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What to do is start by following the instructions. It says "graph the function". Have you done that?
How would i graph r0 or B0? Its those two variables that confuse me.
 
  • #4
LCKurtz
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How would i graph r0 or B0? Its those two variables that confuse me.
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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