The+Slope+of+a+Tangent

The Slope of a Tangent
Lesson 1:

‍Using Limits to Solve for Slope of the Tangent
Tuesday February 7, 2012


 * [[image:http://www.phengkimving.com/calc_of_one_real_var/02_the_der/02_03_the_der_files/image008.gif caption="http://www.phengkimving.com/calc_of_one_real_var/02_the_der/02_03_the_der.htm"]] ||
 * http://www.phengkimving.com/calc_of_one_real_var/02_the_der/02_03_the_der.htm ||

‍"
" (www.ies.co.jp/math/java/calc/limsec/limsec.html)

Do not get confused with the secant (S) and the tangent (T). As stated previously, when x gets closer to a, the secant becomes the tangent line. In the first picture, as (a+h) gets closer to point a, the line becomes the tangent.

====‍It is possible to find the slope of the tangent by setting "h" to an infinitesimally small number.====

====‍-- in case you can't see what's under the word "lim", it says "h→0" -- ====

‍Remember to write "lim as h approaches 0" until you actually apply the limit.
====‍Thus, as "h" gets closer to 0, the slope of the tangent gets really, really, really close to 10.====

====‍In this case, the slope of the tangent is -1, which happens to be the same as f(4); however, this is not true for all cases.====

handout that is titled "Algebra Review: Getting Ready" (double-sided)
 * Homework:**


 * Extra Help and Examples:**

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