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What is the answer for question 3) b. ? http://postimg.org/image/rrpvfng7p/...

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jayson94 | (Level 1) Salutatorian

Posted August 2, 2013 at 11:26 AM via web

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What is the answer for question 3) b. ?

http://postimg.org/image/rrpvfng7p/

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted August 2, 2013 at 12:01 PM (Answer #1)

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We can extend the table from 3(a) to find the secants from 2 to 2.001 and from 2 to 2.0001 etc...

The values we get are :

`x_1`         `x_2`            m
----        ----          ----

2           2.01         7.03
2           2.001       7.003
2           2.0001     7.0003
2           2.00001   7.00003

etc...

It seems that the slope of the tangent line at x=2 is 7. (This can be verified using calculus.)

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