A-LevelMathematicsDifferentiation9709/21 · May/June 2024 · Q13 Marks
A curve has equation y = 2 tanx-5 sin x for 0 < x < π. Find the x-coordinate of the stationary point of the curve. Give your answer correct to 3 significant figures.
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [B1] Differentiate to obtain 2sec² x - 5 cos x
- [M1] Equate first derivative to zero and solve correctly at least as far as cosx = ...
- [A1] Obtain cos x = 0.4_and hence_x=0.742
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