i can find the tangent and the norm with some easy when the equation to start is something like

3x^2+8x+4 when x=1

but i have a new equation

3x^2+2xy^2+6=2y^3 and have to find the tangent and norm at point (2,3)

i can differentiate to get

6x+2x2y+2y^2=6y^2

but dont get how i use y=mx+c

if x=2 and y=3 this means

3=m2+c

all i get 4 m is 54 and i dont think this is right can u please put me on the right line thank you