MATH 1610 Study Guide - Final Guide: Logarithmic Differentiation, Implicit Function, Quotient Rule

• School: Auburn University
• Department: Mathematics
• Course: MATH 1610
• Professor: yu Chen

Document Summary

= 0: linear approximation and differentials (section 3. 10) For x near a, f (x) f (a) + f (a)(x a) = l(x). For y = f (x), dy = f (x)dx: related rate (section 3. 9) Various types of application problems: average rate of change and instantaneous rate of change (section 3. 7) Evaluate aroc over [x1, x2] for y = f (x): Evaluate iroc for y = f (x) at x = x1: Position, velocity and acceleration: exponential growth and decay(section 3. 8, evaluate the following limit. (a) lim x 1+ x 1 sin x 1 cos t 1. 2t2 (b) lim t 0 tan 5t sin 2t (c) lim t 0. 2. (a) find the linearization of y = ln x at a = 1. (b) find the differential dy and evaluate dy for y = sin x, x = , dx = 0. 01: use a linear approximation to estimate tan 44 .