O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2020 · Q77 Marks
A curve has equation y = ln(3x²-5) / (2x+1) for 3x² > 5.
- (a)Find the equation of the normal to the curve at the point where x = √2.[6]
- (b)Find the approximate change in y as x increases from √2 to √2+h, where h is small.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- B1 for 6x / (3x²-5)
- M1 for attempt at a quotient or equivalent product
- A1 for all terms other than 6x / (3x²-5) correct
- B1 May be implied
- M1 for attempt at normal using their y and their perp gradient
- A1 Allow equivalent surd forms
- B1 FT on their dy/dx from (a)
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