O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2020 · Q98 Marks
A curve has equation y = (2x-1)√4x+3.
- (a)Show that dy/dx = 4(Ax+B) / √4x+3, where A and B are constants.[5]
- (b)Hence write down the x-coordinate of the stationary point of the curve.[1]
- (c)Determine the nature of this stationary point.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- B1 for 1/2 × 4(4x+3)^(-1/2) oe
- M1 for a correct attempt at a product
- A1 for all other terms correct
- M1 For attempt to simplify to the given form
- A1
- B1 FT on their 3x+1=0
- M1 Must be using values of x > -3/4
- A1 Must be from correct work
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