For any constant a, let g(x) = ax - (a) What is the x-intercept g(x)? X = (b) Find g '(x) = (c) For what values of a does g(x) have a critical point for x > 0? a> 0 O O a ≥ 0 O a ≤0 O -∞ < a < 00 X = a < 0 (d) Find the x-coordinate of the critical point of g(x). 2xln(x) for x > 0. (e) Find g "(x) = (f) Use the Second Derivative Test to classify the critical point. g "(critical point) . This means that g(x) is ---Select--- ✓at the critical point because g "(critical point) is ---Select--- ]. The critical point is [---Select---

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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For any constant a, let g(x) = ax -
(a) What is the x-intercept g(x)?
X =
(b) Find g '(x) =
(c) For what values of a does g(x) have a critical point for x > 0?
a> 0
O
O a ≥ 0
O a ≤0
O
-∞ < a < 00
X =
a < 0
(d) Find the x-coordinate of the critical point of g(x).
2xln(x) for x > 0.
(e) Find g "(x)
=
(f) Use the Second Derivative Test to classify the critical point.
g "(critical point)
.
This means that g(x) is ---Select---
✓at the critical point because g "(critical point) is ---Select--- ]. The critical point is [---Select---
Transcribed Image Text:For any constant a, let g(x) = ax - (a) What is the x-intercept g(x)? X = (b) Find g '(x) = (c) For what values of a does g(x) have a critical point for x > 0? a> 0 O O a ≥ 0 O a ≤0 O -∞ < a < 00 X = a < 0 (d) Find the x-coordinate of the critical point of g(x). 2xln(x) for x > 0. (e) Find g "(x) = (f) Use the Second Derivative Test to classify the critical point. g "(critical point) . This means that g(x) is ---Select--- ✓at the critical point because g "(critical point) is ---Select--- ]. The critical point is [---Select---
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