e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 + 8)) -e(3x2 . - 8)(6x)(e=2) O h'(x) = (1 + e(3x2. + 8))2 e-2(-2)(1 + e(3x?+ 8))-e(3x² + 8)(6x)(e-2) 8)-e(3x2 O h'(x) = (1 + e(3x2 + 8))2 none of the other answers -e(3x2 8)(6x) 8)(6x) O h'(x) = (1 + e(3x² + 8)2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 12E
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Question
Derivative. The derivative of
e-2
h(x)
1 + e(3x2 + 8)
is
e(3x2 + 8))-e(3x² + 8)(6x)(e¯2)
O h'(x) :
(1 + e'
e(3x2
+ 8))
+ 8)(6x)(e¬2)
(3x2
+ 8))2
-e(3x2,
O h'(x)
(1 + e
e-2(-2)(1 + e(3x- + 8))-e(3x² + 8)(6x)(e-2)
O h'(x) :
(1 +
e(3x2 + 8)2
none of the other answers
-e(3x2
- 8)(6x)
O h'(x)
=
(1 + e(3x² + 8))2
Transcribed Image Text:Derivative. The derivative of e-2 h(x) 1 + e(3x2 + 8) is e(3x2 + 8))-e(3x² + 8)(6x)(e¯2) O h'(x) : (1 + e' e(3x2 + 8)) + 8)(6x)(e¬2) (3x2 + 8))2 -e(3x2, O h'(x) (1 + e e-2(-2)(1 + e(3x- + 8))-e(3x² + 8)(6x)(e-2) O h'(x) : (1 + e(3x2 + 8)2 none of the other answers -e(3x2 - 8)(6x) O h'(x) = (1 + e(3x² + 8))2
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