Calculus 1000A/B Lecture 1: 1.4 Using Limits to find Tangents

36 views3 pages
kuninfiescj7463 and 39641 others unlocked
CALC 1000A/B Full Course Notes
321
CALC 1000A/B Full Course Notes
Verified Note
321 documents

Document Summary

In section 1. 1, we calculated the slope of the tangent line using computational methods. Example: find the slope of the tangent line to the curve y = 2x. 2 + 4x 1 at p (2, 15). X1 y 15 x 2 m = m = 2 + 4x 1 at p (2, 15) is 12. Then, we make a table and find the slope for values of x approaching 2. We can see that the slope of the tangent line to y = 2x. What we have done is taken the limit of the slope function as x approached 2. = lim x a f (x) f (a) x a. If we were to re-do the example using limits, we would get: m = lim x 2 f (2) 15 x 2. 2 x 2 + 2x 8 x 2. Another expression for the slope of the tangent is m = lim.

Get access

Grade+
$40 USD/m
Billed monthly
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
10 Verified Answers
Class+
$30 USD/m
Billed monthly
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
7 Verified Answers

Related Documents

Related Questions