Here's the problem:

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.

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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