Question

find the location and values of any global extrema of F(x)= x^3-3x^2-9x on the interval [-2,4] (you must show your work by finding critical points

Answer 1

find the derivative, set that equal to zero and solve for x

sub back into original f(x) to find the matching y values.
also find the end values of f(-2) and f(4) , then decide which are your max/mins.