Let f(x) = point P = |2.. and 2+ 3x a. Use the following definition of the slope of the tangent line at x= a to find the slope of the line tangent to the graph of f at P. f(a + h) - f(a) mtan = lim h-0 h b. Determine an equation of the tangent line at P. a. The slope of the tangent line is. (Simplify your answer.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Let f(x) =
1
and point P =
2+ 3x
a. Use the following definition of the slope of the tangent line at x = a to find the slope of the line tangent to the graph of f at P.
f(a + h) - f(a)
= lim
mtan
h
h→0
b. Determine an equation of the tangent line at P.
a. The slope of the tangent line is
(Simplify your answer.)
Transcribed Image Text:Let f(x) = 1 and point P = 2+ 3x a. Use the following definition of the slope of the tangent line at x = a to find the slope of the line tangent to the graph of f at P. f(a + h) - f(a) = lim mtan h h→0 b. Determine an equation of the tangent line at P. a. The slope of the tangent line is (Simplify your answer.)
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