Tangential line to a curve

The curve 2(x^2 + y^2)^2 = 25(x^2 - y^2) is called a Lemniscates.

Find the tangent line at (3,1).

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... both sides of the equation with respect to x will yield an identity relating x, y and y'. Substituting for x=3 and y=1, we could then solve for ...