Cracking The Ap Calculus ab Exam 2018

7. Maximum at (1, 1); No point of inflection; Cusp at (0, 0).

First,  we  notice  that    the curve   has x-intercepts    at  x   =   0   and x   =       and that    there   is  a   y-

intercept   at  (0, 0). Before  we  take    the derivative, let’s   expand  the expression. That    way,    we

won’t   have    to  use the Product Rule.   We  get y   =   3x  −   2x. Next,   we  take    the derivative:     =   2x