Curve sketching problem

Question

Consider the function f(x)=-2x^(3) +27x^(2) - 84x +7. For this function there are three important intervals: (-inf,A], [A,B], and [B,inf) where A and B are critical values.

Find A:______

Find B:______

f(x) has an inflection point at x=C where is C is:_______

Answer 1

We get A and B by calculating the first derivative and finding where it equals 0. Remember that A < B.

We get C by calculating the second derivative and finding where it equals 0.