2) (6pts) Given the function f(x)=3x4+4x3−96x2−192x and f′(x)=3(x+1)(x+4)(x−4) (Use calculus and algebra to analyze the
Posted: Thu Jul 14, 2022 4:41 pm
2) (6pts) Given the function f(x)=3x4+4x3−96x2−192x and f′(x)=3(x+1)(x+4)(x−4) (Use calculus and algebra to analyze the function, do not infer anything from a graph) a. Find the interval(s) where the function is increasing and/or decreasing. b. Use the First Derivative Test to find any local max and/or mini value(s) for the function