AP Calculus AB 3.1 - 3.4 Practice Problems Name: 1) Locate the absolute extrema of the function on the closed interval. g ( t ) = - 72 + 3 [-1, 1] 2) At what value(s) of x in the interval |0, 2| is the slope of the line tangent to f (x) = x' -3x equal to the s of the line joining (0, f(0)) and (2, f (2)) ? What is the name of the theorem that guarantees this?3 ) f (x ) = x - 2 + 3 a) Find critical points of f (x) . b) Find open intervals on which f is increasing/decreasing c) Apply the 1st derivative test to locate relative extrema 4) Find all local extrema using the second derivative test of f (x) = x4-18x2