Question: a. If (1 + x)(2 + y) = x 2 + y 2 , find dy/dx in terms of x and y. b. Find the

a. If (1 + x)(2 + y) = x2 + y2, find dy/dx in terms of x and y.

b. Find the gradient of the curve (1 + x)(2 + y) = x2 + y2 at each of the two points where the curve meets the y-axis.

c. Show also that there are two points at which the tangents to this curve are parallel to the y-axis. 

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