Q1 Differentiating implicit functions Differentiate each of these functions with respect to 3:. Factorise 1your answers where appropriate. x3+y +2y + +m xy 3: y (y+ 4)3 Q2 Tangents and normals Find the equations of the tangent and the normal to the curve 3:3 + Ag: = 3 at the point {1, 2]. Give your answers in the form rtr+by+c=0 tangent: [:| normal: II D [3] II c: [3] The curve whose equation is x2 + 35w+y2 = 29 crosses the liney = 1 at two points. Find the coordinates of these points. ( x )and( r J Find the equation of the tangent at each point. II D ( x )l ( x )= II D