3. Let f(t) be the function graphed below. Let g(x) = ƒ f(t)dt -0:8 -0:6 -0:4 -0.2 0,5 15 2.5 -0:2 (a) Approximate g'(1.5) (b) Find all critical points of g(x) (the x values) (c) Classify each critical point as a local maximum, local minimum, or neither (d) Find all interval(s) for x such that g(x) is concave up

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
Question
3. Let f(t) be the function graphed below. Let g(x) = ƒ f(t)dt
-0:8
-0:6
-0:4
-0.2
0,5
15
2.5
-0:2
(a) Approximate g'(1.5)
(b) Find all critical points of g(x) (the x values)
(c) Classify each critical point as a local maximum, local minimum, or neither
(d) Find all interval(s) for x such that g(x) is concave up
Transcribed Image Text:3. Let f(t) be the function graphed below. Let g(x) = ƒ f(t)dt -0:8 -0:6 -0:4 -0.2 0,5 15 2.5 -0:2 (a) Approximate g'(1.5) (b) Find all critical points of g(x) (the x values) (c) Classify each critical point as a local maximum, local minimum, or neither (d) Find all interval(s) for x such that g(x) is concave up
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