MATH 1131Q- Final Exam Guide - Comprehensive Notes for the exam ( 284 pages long!)

• School: UConn
• Department: Mathematics
• Course: MATH 1131Q
• Professor: Katie Hall

Document Summary

Tangents: m = lim x a f(x) f(a) x a provided that the limit exists. 3 2 5 f(x) f(a) x 2 at the point (2,7) If we replace x = a +h the def 1. becomes m = the slope of the tangent of the function at that point at f(a+h) + f(a) h lim h 0. Velocity: suppose s = f(x) is the displacement (direct distance) of an object from the orgin, we define velocity at time t = a to be f(a+h) f(a) h lim h 0. The average velocity of an object = to the displacement of the object / time f(a+h) f(a) h. If x changes from x1 to x2 it is written as x x2 x1. The average rate of change is defined as the average velocity between a a given time frame. Using the difference quotient is how you find the average rate of change.