Lecture_2_6and_2_7

Lecture_2_6and_2_7 - Lecture Outline for Section 2.6 and...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture Outline for Section 2.6 and section 2.7 Derivatives and Rates of Change; The Derivative as a function Math 141 Extra Problems from text to work: 2.6 # 5,7,11,13,16,17,27, 30,43a and b 2.7 # 1, 3, 5,6, 23,25,27,35,37 The slope of the tangent line to a graph at a point is called the instantaneous rate of change or the derivative at that point. The tangent line to y = f ( x ) at point ( a , f ( a )) is the line whose slope is equal to " f ( a ) , the derivative of f at a . Picture: Talk about idea of slopes of the secant lines approach the slope of the tangent line IF as the distance between the two points goes to zero, the slopes of the secant lines approach the slope of the tangent line. Picture: Keep in mind from section 2.1; slope of a secant line is the average rate of change of a function over an interval; slope of a tangent line is the instantaneous rate of change of a function at a point.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Example: I’ll sketch a picture on the board and I want you to put the following four numbers in increasing order
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

Lecture_2_6and_2_7 - Lecture Outline for Section 2.6 and...

This preview shows document pages 1 - 3. Sign up to view the full document.

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