Only looking for answer to question #5. #27 is just for reference. Thank you!

5. Use implicit differentiation to prove that the curve x2 + y2 = (2x2 + 2 y2 x)2 (see exercise 27 of page 187 of the textbook) has a vertical tangent line at the point (1,0). 27. x2 + y2 = (2x2 + 2y2 - x)2 (0, (cardioid) YA