Tangent line equation

Question

The curve with equation 𝑦^2=3𝑥^4−3𝑥^2 is called a Kampyle of Exodus. Find an equation of the tangent line to this curve at the point (2,6).

Answer 1

y^2 = 3x^4 - 3x^2

2yy'= 12x^3 - 6x

y' = (12x^3 -6x)/2y

at (2,6)

y'= 84/12= 7

y= 7(x-2) +6

y= 7x-8