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
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
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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Question

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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