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A-LevelMathematicsDifferentiation9709/22 · May/June 2020 · Q25 Marks

Find the exact coordinates of the stationary point on the curve with equation y = 5xex^(1/2)x.

(a)Find the exact coordinates of the stationary point on the curve with equation y = 5xex^(1/2)x.[5]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

[*M1] Differentiate using product rule to obtain ae^(1/2)x + bxe^(1/2)x
[A1] Obtain correct 5e^(1/2)x + 5/2 xe^(1/2)x OE
[DM1] Equate first derivative to zero and solve for x
[A1] Obtain x-coordinate -2
[A1] Obtain y-coordinate -10e⁻¹

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About this question

Topic: Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2020 Paper 2 Variant 2, question 2.

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