Secants To Tangents
Change the value of a to get a new coordinate for B. Find a=2, 1.5, 1.3, 1.1 for each of the following functions and make a table of values.
f(x)=sin(x)
f(x)=
f(x)=
f(x)=
For each function, what does the slope appear to approach as a approaches 1?
For each function, use the text box to get a really close to 1. Use .9, .99, .999, etc and 1.1, 1.01, 1.001 to see what happens to the secant slope as you get even closer to the value of 1.