Pre-Calculus Limits Calculus. Objectives: 1.Discuss slope and tangent lines. 2.Be able to define a derivative. 3.Be able to find the derivative of various.
College Algebra, Third Edition by Cynthia Y. Young, © 2012 John Wiley and Sons. All rights reserved. Chapter 3 Functions and Their Graphs.
Chapter 3 Non-Linear Functions and Applications Section 3.2.
DIFFERENTIATION RULES We know that, if y = f (x), then the derivative dy/dx can be interpreted as the rate of change of y with respect to x.
Difference Quotient (4 step method of slope) Also known as: (Definition of Limit), and (Increment definition of derivative) f ’(x) = lim f(x+h) – f(x)
COMPUTING DERIVATIVES During the last lecture we saw that we need some “bricks” (derivatives of actual functions) and some “mortar” (commonly known as.
IMPLICIT DIFFERENTIATION AND RELATED RATES Recall the two separate and apparently distinct situations that, not surprisingly, are resolved with the same.
MATH 577fass1 3.2 The Secant Method Recall Newton’s method Main drawbacks: requires coding of the derivative requires evaluation.
Intuition|Difficulties | Rules | Examples Differentiable Functions Seminar „Hands-On Math for Computer Scientists“ Saarbrücken, Feb. 2nd 2005 Daniel Beck,
1 §1.5 Rates Of Change, Slope and Derivatives The student will learn about: average rate of change, instantaneous rate of change, instantaneous rate of.
Tangent lines
Functions and Their Graphs Chapter 2 TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AA A A AAA A.
