Given the function f(x) = - 2x

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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Given the function f(x)
2x2
f(r +h) - f(r)
Find the difference quotient
f(r + h) - f(c)
Find f'(T) by determining lim
Find f'(-2) (This slope should match the tangent line you drew above.)
Find f' (0)
Find f'(1)
2r2
and draw the tangent lines to the graph at points whose x-coordinates
Graph the function f(x)-
are -2 , 0, and 1.
104
7.
-3
-2
-1
-2.
-3
-7-
-8
Transcribed Image Text:Given the function f(x) 2x2 f(r +h) - f(r) Find the difference quotient f(r + h) - f(c) Find f'(T) by determining lim Find f'(-2) (This slope should match the tangent line you drew above.) Find f' (0) Find f'(1) 2r2 and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(x)- are -2 , 0, and 1. 104 7. -3 -2 -1 -2. -3 -7- -8
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