Hello,

Would anyone be able to tell me how to go about solving this problem? I've been looking through my calculus (it doesn't give examples similar to this problem) book but I have no idea where to start. Any help would be greatly appreciated. For the 1st part, I got dy/dx = -(10x+3+y)/x. Not sure if it's correct or not. Am I supposed to plug 2 in to find the slope? Thanks! Ana

Here's the problem . . .

5x^{2 }+ 3x + xy = 2 and y(2) = -12, find y'(2) by implicit differentiation. (1st part)

2nd part asks to find the equation of the tangent line to the graph at the point (2,-12)