MATH 20A Study Guide - Midterm Guide: Maxima And Minima

• School: UCSD
• Department: Mathematics
• Course: MATH 20A
• Professor: All

Document Summary

Instructions: turn o and put away your cell phone. You may use one page of notes, but no books or other assistance. Show all of your work; no credit will be given for unsupported answers. No credit will be given for illegible solutions. For each of the following, nd dy (a) y = e x ln x (b) y = ln(1 + cos 2x) (c) x3y tan y = 4 dx . (you do not need to simplify. ) 2. (a) find the linearization of the function f (x) = (b) use the result of (a) to approximate the value of x at the point a = 4. 3. (a) find the critical points for the function g, if the formula for the rst derivative is g(cid:48)(x) = 2x(x 2)(x + 3). Identify each critical point of g as a local maximum, local minimum, or neither. (b) the function h has a critical point at x = 3.