A-LevelMathematicsDifferentiation9709/22 · Oct/Nov 2018 · Q35 Marks
The diagram shows the curve with equation y = 5 sin 2x – 3 tan 2x for values of x such that 0 < x < (1/2)π. Find the x-coordinate of the stationary point M, giving your answer correct to 3 significant figures. [Figure M]
- (a)The diagram shows the curve with equation y = 5 sin 2x – 3 tan 2x for values of x such that 0 < x < (1/2)π. Find the x-coordinate of the stationary point M, giving your answer correct to 3 significant figures.[5]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- B1 Differentiate to obtain 10cos2x
- B1 Differentiate to obtain -6sec² 2x
- M1 Equate first derivative to zero and find value for cos³ 2x
- M1 Use correct process for finding x from cos³ 2x = k
- A1 Obtain 0.284 nfww
- Or greater accuracy
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