MAT135H1 Study Guide - Final Guide: Differential Calculus

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Reyes

Document Summary

Intro to calculus: what is calculus, two simple geometric problems: I: given a function y f x. The problem of tangents [differential calculus: what is the slope of the tangent to the graph of the function at a given point p"? (i. e. instantaneous rate of change) [recall from grade 12 advanced functions: the slope of a tangent to the graph y f x at point. P a f a is given by: m lijnohath fca: to find the slope of a tangent at point. P a f a find the value of f a [i. e. replace x" with a"] find the value of f a h+ 0 f a h f a h m him f cata h 0 h. Ith him f h o limn o th f i. Example 1: find the slope of the tangent line to the curve a at point (1, 1)