A-LevelMathematicsDifferentiation9709/22 · May/June 2018 · Q26 Marks
A curve has equation y = 3 ln(2x + 9) – 2 lnx.
- (i)Find the x-coordinate of the stationary point.[4]
- (ii)Determine whether the stationary point is a maximum or minimum point.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1] Differentiate to obtain form k₁/(2x+9) - k₂/x
- [A1] Obtain correct 6/(2x+9) - 2/x
- [M1] Equate first derivative to zero and attempt solution to x = ...
- [A1] Obtain x = 9
- [M1] Use appropriate method for determining nature of stationary point
- [A1] Conclude minimum with no errors seen
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