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detrmine DE giving the slope of the tangent line at point (x,y) for the given family of curves:

[tex] 2cy = x^2 - c^2 [/tex]

Here's what I have:

slope of this curve:

[tex] y' = \frac{x}{c} [/tex]

So, then the slope of tangent line is negative inverse:

[tex] y' = \m \frac{-c}{x} [/tex]

so now I need c, but I don't see how to pull it out from the original equation!

Thanks for any help.

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# Slope of tangent line (DE)

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