Question: (b) A curve has equation: myzilmy: =4m2+y2. i. Using implicit differentiation, determine 7/'. ii. Hence, find the equation of the tangent line to the curve

(b) A curve has equation: myzilmy:" =4m2+y2. i. Using implicit differentiation, determine 7/'. ii. Hence, find the equation of the tangent line to the curve ryz-l:ry3=4$2+y2 at the point (0, 2). iii. Using implicit differentiation, determine y\". iv. Hence, use y"\" to describe the shape of the curve at the point (0,2) v. Sketch (by hand) the curve in the neighbourhood of the point (0,2))
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