Use the values in the table below to answer each of the following: x f(x) g(x) f'(x) g'(x) f"(x) 0 -2 -1 4 1 2 3 3 1 2 1 2 (d) Let r(x) 0 1 (b) Let y(x) = f(g(x)). = (c) Let v(x) = (f(x))². 3 -2 4 -2 3 2 (a) Let p(x) = f(x)g(x). Find p '(3) = Does p(x) have a horizontal tangent at x = 3? ---Select--- ✓ 3 g(x) x3 Find the exact value of r '(3). r'(3) = -4 Find the slope of y(x) at x = 3. y '(3) = Find the equation of the tangent line to y(x) at x = 3. Use y for the dependent variable. 1 2 Find the value of v "(3). v "(3) = Is v(x) concave up or concave down at x = 3? ---Select---

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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Use the values in the table below to answer each of the following:
x f(x) g(x) f'(x) g'(x) F"(x)
0
-2
1
-1
4
3
1
2
3
3
1
2
2
0
(d) Let r(x)
1
(b) Let y(x) = f(g(x)).
=
(c) Let v(x) = (f(x))².
3
-2
4
-2
3
2
(a) Let p(x) = f(x)g(x).
Find p '(3) =
Does p(x) have a horizontal tangent at x = 3? --Select--- ✓
-4
Find the slope of y(x) at x = 3.
y '(3) =
Find the equation of the tangent line to y(x) at x = 3. Use y for the dependent variable.
g(x)
x3
Find the exact value of r '(3).
r'(3) =
1
2
Find the value of v "(3).
v "(3) =
Is v(x) concave up or concave down at x = 3? ---Select---
Transcribed Image Text:Use the values in the table below to answer each of the following: x f(x) g(x) f'(x) g'(x) F"(x) 0 -2 1 -1 4 3 1 2 3 3 1 2 2 0 (d) Let r(x) 1 (b) Let y(x) = f(g(x)). = (c) Let v(x) = (f(x))². 3 -2 4 -2 3 2 (a) Let p(x) = f(x)g(x). Find p '(3) = Does p(x) have a horizontal tangent at x = 3? --Select--- ✓ -4 Find the slope of y(x) at x = 3. y '(3) = Find the equation of the tangent line to y(x) at x = 3. Use y for the dependent variable. g(x) x3 Find the exact value of r '(3). r'(3) = 1 2 Find the value of v "(3). v "(3) = Is v(x) concave up or concave down at x = 3? ---Select---
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