1. A) Find all critical points of f(x)=4x (2-x)^3.
  2. B) Find the absolute maximum and absolute minimum of f(x)=sqrt(9-x^2) on -2 ≤ x ≤ 1. Show work.

 

  1. C) Find the values of c that satisfy the conclusion of the Mean Value Theorem for

f(x)=3x^2-4x+2 on [0,3]

  1. D) Find the intervals on which f is increasing and decreasing and the local maximum and minimums for f(x)=x^4-8x^2+1 show work.