6)) Given the graph of f'(x) find the values of x where the curve y = f(x) has horizontal tangent lines. {'(x) =0 %3D 9L = 1.5 9L =-2. 7) Write the equation of the tangent line to the curve y = 1-x at x =2. 1+x 1-2) %3D (1-x)2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6)) Given the graph of f'(x) find the values of x where the curve y = f(x) has horizontal
tangent lines.
%3D
{'(x)
%3D
IK = 1.5
IL =-2
%3D
-2
2
--2-
1-x
7) Write the equation of the tangent line to the curve y =
at x =2.
1+x
1-2)
{(2)=
(1-x)2
-2x-1
2 It %% = -%(z-2) = = %
131
Transcribed Image Text:6)) Given the graph of f'(x) find the values of x where the curve y = f(x) has horizontal tangent lines. %3D {'(x) %3D IK = 1.5 IL =-2 %3D -2 2 --2- 1-x 7) Write the equation of the tangent line to the curve y = at x =2. 1+x 1-2) {(2)= (1-x)2 -2x-1 2 It %% = -%(z-2) = = % 131
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