(2) For what values of a does the graph of the following function have a horizontal tangent line? d dx t f(x) = x²e-2x f'(x)= = -2x28 = x²e-2x te=²x2x こ 2 -2x e لے x²=//=²²*² +6²-²x + / +² +2 d te 2 dre Jx с +² +2x 2x -2x e = x (x + 2) 2 X x(x+2) e 2+ +(x+2) e = 0 -200

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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f'(x) == x+² é'
2
dx
e
(2) For what values of x does the graph of the following function have a horizontal tangent line?
f(x) = x²e-2x
:
>
कर
do atve
dx
= x²e-2x te-2x zx
-2x
с
-2x
+² +2x
e²x
x ( ++2)
2X
-2x
te
d
Jx
+
2
x(x+2)
24
e
x(x+2Je
-200
O
Transcribed Image Text:f'(x) == x+² é' 2 dx e (2) For what values of x does the graph of the following function have a horizontal tangent line? f(x) = x²e-2x : > कर do atve dx = x²e-2x te-2x zx -2x с -2x +² +2x e²x x ( ++2) 2X -2x te d Jx + 2 x(x+2) 24 e x(x+2Je -200 O
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