For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with values as given in the following table. Use the table to calculate the following derivatives. I 1 2 3 4 f(x) 10 5 2 1 g(x) -27 -8 -1 0 df -6 -4 -20 1. If h(x) = xf(x) + 4g(x) then, h'(1) = 102 f(x) 2. If h(x)= then, h'(2) -6x +118) g(x) 3. If h(x) = 2x+ f(x)g(x) then, h'(3) = 0 1 g(x) = + then, h'(4) ND f(x) I If you believe that a value is not defined, type 'ND' Note: You can earn partial credit on this problem. 4. If h(x) Entered Answer Preview Result 102 102 incorrect dr. dg da 27 12 3 0

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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For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with values as given in the following table. Use the table to calculate the following derivatives.
X
1
2
3 4
5 2 1
f(x) 10
g(x) -27 -8 -1 0
df
-6
-4 -2 0
1. If h(x) = xf(x) + 4g(x) then, h'(1) = 102
f(x)
2. If h(x) = then, h'(2) -6x +118
g(x)
3. If h(x) = 2x + f(x)g(x) then, h'(3) = 0
1 g(x)
4. If h(x) = + then, h'(4) = ND
x f(x)
If you believe that a value is not defined, type 'ND'
Note: You can earn partial credit on this problem.
Entered Answer Preview Result
102
-1/3
0
ND
102
-1/3
0
ND
incorrect
incorrect
incorrect
incorrect
da
dg
d.x
27
12 3 0
Transcribed Image Text:For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with values as given in the following table. Use the table to calculate the following derivatives. X 1 2 3 4 5 2 1 f(x) 10 g(x) -27 -8 -1 0 df -6 -4 -2 0 1. If h(x) = xf(x) + 4g(x) then, h'(1) = 102 f(x) 2. If h(x) = then, h'(2) -6x +118 g(x) 3. If h(x) = 2x + f(x)g(x) then, h'(3) = 0 1 g(x) 4. If h(x) = + then, h'(4) = ND x f(x) If you believe that a value is not defined, type 'ND' Note: You can earn partial credit on this problem. Entered Answer Preview Result 102 -1/3 0 ND 102 -1/3 0 ND incorrect incorrect incorrect incorrect da dg d.x 27 12 3 0
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