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Implicit differentiation to find the slope

  1. May 21, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex](x - h)^2 + (y - k)^2 = r^2[/tex]
    where h,k and r are constants

    3. The attempt at a solution

    [tex]
    \begin{array}{l}
    \frac{d}{{dx}}\left[ {(x - h)^2 + (y - k)^2 } \right] = \frac{d}{{dx}}r^2 \\
    2(x - h) + 2\frac{{dy}}{{dx}}(y - k) = 0 \\
    \Rightarrow \frac{{dy}}{{dx}} = - \frac{{(x - h)}}{{(y - k)}} \\
    \end{array}[/tex]

    Is my work correct?
    Thank you
     
  2. jcsd
  3. May 21, 2008 #2
    looks good to me =P
     
  4. May 21, 2008 #3

    Defennder

    User Avatar
    Homework Helper

    Yeah it seems all right.
     
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