Math 130: Homework 6 Assignment for Section 4.1 and 4.3 Due: Name Section 4. 1 (1) Find the critical numbers of the function f (3:) : 2x3 39:2 36x. (2) Given the following derivative function What are the critical numbers of f (3:)? (3) Find the absolute max and absolute min values of f (L) = :L' + i on the interval [0.2, 4] Section 4.3 (4) Consider the function f (9:) : x3 + 33:2 363? + 4. (a) Find the local maximum and minimum values. (1)) Find Where the function is increasing or decreasing. (c) Find the intervals of concavity and the inflection points. (5) Find the local maximum and minimum values of f (m) = 1 + 3x2 23:3 using either the First Derivative Test or the Second Derivative test. Math 130: Calculus I Page 1