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A-LevelFurther MathematicsImplicit DifferentiationMay/June 2015Paper 1 Q69 Marks

A curve has equation x² – 6xy + 25y² = 16. Show that dy/dx = 0 at the point (3, 1). By finding the value of d²y/dx² at the point (3, 1), determine the nature of this turning point.

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The correct answer is . This question tests the candidate's understanding of implicit differentiation within the Further Mathematicssyllabus. The examiner's mark scheme requires...

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Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

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About This A-Level Further Mathematics Question

This structured question appeared in the Cambridge A-Level Further Mathematics (9231) May/June 2015 examination, Paper 1 Variant 2. It tests the topic of Implicit Differentiation and is worth 9 marks.

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