Okay I know I am doing something wrong but I can't see my mistake - please help me
"Find the equation of the tangent line to the curve
3x^2 - 3y^3+2yx^2=-45 at point (-2,3)
So first my goal is to find the derivative fox x so here I go....
6x - 9y^2 (dy/dx) + 4xy + 2x^2(dy/dx) = 0
dy/dx (-9y^2 + 2x^2) = -6x -4xy
dy/dx = (-6x-4xy)/(-9y^2 + 2x^2)
So if I plug in the point coordinates (-2,3) to calculate the slope I get
(12 - (-24))/(-81+8) which is -36/73 so I know I am wrong b/c that just can't be the slope.
Where am I going wrong????
And jumping ahead ....the equation of the tangent will be
y-3 = (slope from above) (x- -2) and then solve for y if this is wrong let me know this too - thanks
Thanks in advance from
this confused calculus beginner