MAC-2311 Study Guide - Final Guide: Constant Function, Logarithmic Differentiation, Maxima And Minima
Document Summary
Omitted: 3. 11 hyperbolic functions, 4. 6 graphing w/ technology, 4. 8 newton"s method, 6. 5 average function value. *using slope of sec lines to approximate slope of tan line at a certain point. *avg. velocity = change in position divided by change in time (aka slope formula aka slope of a sec line) *insta. velocity = slope at a certain point (aka slope of a tan line) *lim can be found using table of the eqn of f(x) *limit dne if lim of f(x) as x a from let and right are not the same, or if f(x) is alternating function like some trig functions, or if rapidly oscillating f(x) values as x a from left and right. Can use to manipulate function into one which is easier to find limit for via factoring top and bottom. At a point, over an open interval, over a closed, interval. *for limits of polynomials, look at the highest powered terms and its sign.
