- Understanding Arithmetic Progressions (AP) and Solving AP Problems
- Finding the maximum and minimum values of functions
- Find the set of all real values of the parameter \(m\) for which the function \(y = – {x^3} – 6{x^2} + \left( {4m – 9} \right)x + 4\) is strictly decreasing over the interval \(( – \infty, -1)\).
- How many integer values of \(m\) make the function \(y = \left( {{m^2} – 1} \right){x^3} + \left( {m – 1} \right){x^2} – x + 4\) strictly increasing over \(\mathbb{R}\)?
- Exploring Extremum Problems in Calculus: Finding Optima in Functions

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