Topic test
CSCA Mathematics — Topic test: Monotonicity and extrema
Lesson: Applications of the derivative: monotonicity and extrema20 questions25 min1 × section
20 CSCA-style questions on the sign of f′ and intervals of monotonicity (also with a parameter), critical points and extrema, graphs of f′ described in words, greatest and least values on a closed interval, optimisation, counting roots and the integral as an area. Time: 25 minutes, no calculator.
Rules
- Once started, the clock does not stop; when time is up your answers are submitted automatically.
- Answer in any order; flag a hard question and come back to it later.
- If you reload the page, your answers are kept and the exam continues where you left off.