Calculus BC: Applications of the Derivative
Problem : Find the critical points and inflection points of the function f (x) = x 4 -2x 2 (with domain the set of all real numbers). Which of the critical points are local minima? local maxima? Is there a global minimum or maximum?
Problem : Find the inflection points of f (x) = e -x2 . (This famous function is called the gaussian.)
Problem : Find a function f (x) with inflection points at x = 1 and x = 2 .