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Implicit differentiation to find the slope

  • #1

Homework Statement



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

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
 

Answers and Replies

  • #2
378
2
looks good to me =P
 
  • #3
Defennder
Homework Helper
2,591
5
Yeah it seems all right.
 

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