These are 15 open-ended carefully chosen questions concerning the following: ❄ determining intervals of increasing and decreasing (2nd , 3th and 9th problems) ❄ finding local and absolute extrema (1st , 7th and 12th problems) ❄ finding inflection points (10th and 15th problems) ❄ determining intervals of concavity (9th problem) ❄ finding the slope and the equation of the tangent and the normal lines at a point ( 5th , 8th ,11th , 13th and 14th problems) ❄ computing second and highe