2.1.notes - MAC 2233/001-006 Business Calculus, Fall 2011...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAC 2233/001-006 Business Calculus, Fall 2011 CRN: 81700–81702, 81705, 81716, 81715 Assistants : Matthew Fleeman, Arbin Rai, Tadesse Zerihun, Vindya Kumari, Junyi Tu, Jing- han Meng Brief notes on derivatives I shall briefly recapture how I approach derivatives in class. We shall use the graph (see below) of a function y = f ( x ) as an example. e assume that the point P is ( x, f ( x )) and that Q is obtained from P by adding Δ x to x . That is, the point Q is ( x + Δ x, f ( x + Δ x )). The diagram above actually shows the graph of y = f ( x ) = 1 5 ( x 2 + 4 x + 5). The point P is at x = − 1, and Q is at x = 3. Hence Δ x = 3 − ( − 1) = 4 in the example. We start by considering the secant line through P and Q . (1) The slope of the secant line is the difference quotient : f ( x + Δ x ) − f ( x ) Δ x . (2) The slope of the secant line represents the average rate of change of f between P and Q ....
View Full Document

This note was uploaded on 01/02/2012 for the course MAC 2233 taught by Professor Danielyan during the Fall '08 term at University of South Florida.

Page1 / 2

2.1.notes - MAC 2233/001-006 Business Calculus, Fall 2011...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online