Question 5 (12 marks) dy (a) Using implicit differentiation on the curve x²-xy=-7 show that dx 2=2x-y x (b) Hence, find
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Question 5 (12 marks) dy (a) Using implicit differentiation on the curve x²-xy=-7 show that dx 2=2x-y x (b) Hence, find
Question 5 (12 marks) dy (a) Using implicit differentiation on the curve x²-xy=-7 show that dx 2=2x-y x (b) Hence, find the equation of the normal to this curve at the point where x = 1. [3 marks] [5 marks] (c) Algebraically find the x-coordinate of the point where the normal (from (b)) meets the curve again. [4 marks]
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