O-LevelAdditional MathematicsDifferentiation and integration4037/22 · May/June 2011 · Q13 Marks
Given that y = sin 3x, find dy/dx
- (i)Given that y = sin 3x, find dy/dx[1]
- (ii)Hence find the approximate increase in y as x increases from π/9 to π/9 + p, where p is small.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- [1] (i) dy/dx = 3 cos 3x
- [1] (ii) Uses δy ≈ (attempt at dy/dx) x δx with x = π/9 and δx = p.
- [1] (ii) 1.5p
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