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A-LevelMathematicsDifferentiation9709/23 · May/June 2020 · Q25 Marks

Find the exact coordinates of the stationary point on the curve with equation y = 5xe½ˣ.

  1. Question 2Find the exact coordinates of the stationary point on the curve with equation y = 5xe½ˣ.[5]

Mark scheme

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

  1. Differentiate using product rule to obtain aeˣ/² + bxeˣ/²
  2. Obtain correct 5eˣ/² + (5/2)xeˣ/² OE
  3. Equate first derivative to zero and solve for x
  4. Obtain x-coordinate -2
  5. 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 3, question 2.

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