Can't get this implicit differentiation I've been working at this implicit differentiation problem for a little over an hour now, and I, nor my friends can figure it out. The question reads "Find the equation of the tangent line to the curve (a lemniscate) $2(x^2+y^2)^2=25(x^2−y^2)$ at the point (3,1). Write the equation of the tangent line in the form $y=mx+b.$"
Every time that we do it we get a ridiculous number for the slope (${150}/{362}$)

Familiarize yourself with the notion of a gradient if you haven't done so already.
Here are the equations for the gradient so that you can check your solutions when you are ready:

Plug in the appropriate coordinates to get the gradient.
