Q164 · Practice questionTechnology-freeComplex familiar5 marks
QUESTION 164 (5 marks)
For , determine the coordinates and nature of all stationary points and determine the point of inflection.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
Local maximum ; local minimum ; point of inflection .
Worked solution
gives stationary points at . Since , and . The inflection point occurs at , where .
Finds the stationary -values.
Finds the stationary-point coordinates.
Correctly classifies both stationary points.
Finds the inflection -value.
Finds the inflection-point coordinate.
Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.
View the QCAA syllabusHow many marks did you earn?
Compare your working with the guide above.