Q273 · Practice questionTechnology-freeComplex familiar5 marks
QUESTION 273 (5 marks)
Let .
a)[2 marks]
Determine .
b)[3 marks]
Determine and classify the stationary points.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
a) . b) Local minimum ; local maximum .
Worked solution
a) The quotient rule gives .
b) The stationary values are . The derivative is negative for , positive for and negative for . Substitution gives the stated coordinates and classifications.
Exact answers unless rounding is specified; equivalent forms accepted.
a) Applies the quotient rule.
a) Simplifies the derivative.
b) Finds x = -2 and 2.
b) Finds both y coordinates.
b) Correctly classifies both using derivative signs.
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