A-LevelMathematicsDifferentiation9709/12 · Oct/Nov 2014 · Q46 Marks
A curve has equation y = 12 / (3-2x)
- (i)Find dy/dx[2]
- (ii)Find the possible x-coordinates of A.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.
- [2] Differential = -12(3 – 2x)⁻² × -2. co co (even if 1st B mark lost)
- [1] dy/dx = (dy/dt) / (dx/dt) = 0.4 / 0.15. Chain rule used correctly (AEF)
- [1] → 24 / (3-2x)² = 8/3. Equates their dy/dx with their 8/3 or 3/8
- [2] →x= 0 or 3. co co
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