[?] Manipulate with the plot of this function?

Questions
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1

Hi,

I need to manipulate the function: x^2 + y^2 + cx^2y^2=1 to show how the graph changes as c ranges from 0 to 10.
Do I use the manipulate function or contour plot? I’m really lost and really new to mathematica.
I also need to implicity differentiate the function to find y’.

Thank you!

2

Here is a way:

Manipulate[
 ContourPlot[x^2 + y^2 + c x^2 y^2 == 1,
  {x, -2, 2}, {y, -2, 2}],
 {{c, 0}, -2, 10}]
Solve[D[x^2 + y[x]^2 + c x^2 y[x]^2 == 1, x],
 y'[x]]
3

Thank you!