Posted by Cecille on Wednesday, March 23, 2011 at 7:39pm.
x=2 could be rewritten as (2,0)
Look at example 1:
http://www.cliffsnotes.com/study_guide/Tangent-and-Normal-Lines.topicArticleId-39909,articleId-39887.html
f(x) = x^3 - x^2 + x - 1
f'(x) = 3x^2 - 2x + 1
when x=2 , f'(1) = 12 - 4 + 1 = 9
also when x=2, f(2) = 8 - 4 + 2 -1 = 5
so the tangent has a slope of 9 and passes through (2,5)
equation of tangent is y = 9x + b
at (2.5)
5 = 9(2) + b
b = -13
equation of tangent: y = 9x - 13
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