A-LevelMathematicsDifferentiation9709/22 · May/June 2022 · Q13 Marks
Given that y = ln x / x², find the exact value of dy/dx when x = e.
- Given that y = ln x / x², find the exact value of dy/dx when x = e.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [M1] Differentiate using quotient rule (or product rule)
- [A1] Obtain (x - 2x ln x) / x^4 OE
- [A1] Substitute x = e to obtain 1/e³ or exact equivalent
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