Find the slope of the tangent at the given point.

Question

y+x^2y=4 at (1,2)

Answer 1

Use Implicit differentiation to get y' + 2xy + x²y' = 0

 

y'(1 + x²) = - 2xy.

 

Now solve for y', which gives slope, and evaluate this when (x,y) = (1,2)