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Advanced function analysis and optimization
Extrema, inflection, derivative signs and optimization of geometric and exponential models.
Questions: 6Estimated time: 27 minutes
Time left: 00:00:00
Best results on this test
Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- Given f(x) = ___ for x ∈ [___; ___], find its ___ value on this interval.||maximum||minimum
- Given f(x) = ___, find the x-coordinate of its inflection point.
- Function f is differentiable for all real x, with f′(x) = ___. At which x does f have a local ___?||minimum||maximum
- Equal squares are cut from all four corners of a square cardboard sheet of side ___ cm. Folding the sides makes an open box. What cut-square side x maximizes its volume? Give the answer in centimetres.
- Find the point on y = x² nearest to P(0; ___). Give only the positive x-coordinate of that point.
Advanced function analysis and optimization
Six dynamic advanced-course tasks on cubics, inflection, stationary points and three different optimization models.
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