Can anyone help me solve #31? The answer on Chegg skips multiple steps and is confusing to understand!
2532 Use implicit differentiation to find an equation of the tan gent line to the curve at the given point.
25.y sin2x=x cos 2y/2,r/4
26. sin(x +y) =2x -2y,(Tr,Tr)
27. x2 + xy + y2 =3,(1,1)(ellipse)
28.x2 +2xy - y2 + x =2,(1,2)(hyperbola) 29. x2 + y2 = (2x2 + 2y2 - x)2 30.x2/3 + y2/3= 4 (0,) (3 V3, 1) (cardioid) (astroid)
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31. 2(x2 + y2)2 = 25(x2 - y2) (3, 1) (lemniscate)
32. y2(y2 - 4) = x2(x2 - 5) (0, 2) (devil's curve)