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General question about continuity (2 var.)

  1. Nov 15, 2011 #1
    You know that fx(x0,y0) exists. What can you tell about the continuity of g(x)=f(x, y0) at x=x0?

    I know the answer is that it is continuous but I just wanted somebody to confirm why.
  2. jcsd
  3. Nov 15, 2011 #2


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    Science Advisor

    Since yo is fixed, you simply have a function of one variable (x), so apply what you know about a function of one variable and its derivative.
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