[MATH 1400] - Final Exam Guide - Everything you need to know! (85 pages long)
Document Summary
Understand objective, constraints, and optimal values for rectangular packages. Inventory control ordering cost + carrying cost contraint equations minimum cost number of orders placed average stock: half of the order size. Food concessions: linear demand curve, maximizing revenue, fixed costs, maximize profits. Derivatives with square roots & fractions negative ---> positive on first derivative test when 2nd derivative is positive concave up positive ---> negative on first derivative test when 2nd derivative is negative concave down. Inflection points: points where graph switches from concave up to concave down. Critical points: solve f prime of x = 0. F double prime < 0 = max negative. Compute max/min value to corresponding correct x value. Product rule: g"(x) times h(x) + g(x) times h"(x) Quotient rule: h(x) times g"(x) - g(x) times h"(x) Implicit differentiation: taking a derivative of something with 2 variables that have exponents. Take derivatives on both sides of the equation (keep constant on right side)
