Let h(x) = f(z) where f(x) = ln(3x² + 2x +2) and g(x) = -2x. What is h' (x)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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f(x)
Let h(x) :
g(z)'
, where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)?
%3D
Select the correct answer below:
12z 4z
3z2+2z+2
+2 In(3a? + 2x + 2)
4x2
-12a? – 4x)(3x² + 2æ + 2) +2 ln(3x² + 2æ + 2)
422
12z14z
3,2 2z+2
+2 In(3x² – 2x + 2)
4x2
12z² 4z - 2 In(3z2 + 2x + 2)
3,2+2z+2
4x2
Transcribed Image Text:f(x) Let h(x) : g(z)' , where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? %3D Select the correct answer below: 12z 4z 3z2+2z+2 +2 In(3a? + 2x + 2) 4x2 -12a? – 4x)(3x² + 2æ + 2) +2 ln(3x² + 2æ + 2) 422 12z14z 3,2 2z+2 +2 In(3x² – 2x + 2) 4x2 12z² 4z - 2 In(3z2 + 2x + 2) 3,2+2z+2 4x2
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