Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that f(z) and g(z) are both differentiable functions of z with values as given in the following table. Use the table to calculate the following derivatives. 1 2 3 4 f(z) g(z) df 3 4 7 12 1 -1 -8 2 6 dz dg -3 0 -3 -12 dz 1. If h(z) = rf(x) + 4g(x) then, h'(1) 6- 2. If h(z) = f(z) then, h'(2) = ND g(z) 3. If h(1) = 2x + f(z)g(z) then, h'(3) =I %3D 4. If h(x) g(z) then, h'(4) 105 144 f(x) If you believe that a value is not defined, type "ND"

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...
Question
Using the Rules for Finding the Derivative of a Function.
For the following exercise, assume that f(z) and g(z) are both differentiable functions of z with values as given in the following table. Use the table to calculate the following
derivatives.
1
2
3
4
f(z)
g(z)
df
3
4
7
12
1
-1
-8
2
6
dz
dg
-3 0
-3
-12
dz
1. If h(z) = rf(x) + 4g(x) then, h'(1)
6-
2. If h(z) =
f(z)
then, h'(2)
= ND
g(z)
3. If h(1) = 2x + f(z)g(z) then, h'(3) =I
%3D
4. If h(x)
g(z)
then, h'(4)
105
144
f(x)
If you believe that a value is not defined, type "ND"
Transcribed Image Text:Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that f(z) and g(z) are both differentiable functions of z with values as given in the following table. Use the table to calculate the following derivatives. 1 2 3 4 f(z) g(z) df 3 4 7 12 1 -1 -8 2 6 dz dg -3 0 -3 -12 dz 1. If h(z) = rf(x) + 4g(x) then, h'(1) 6- 2. If h(z) = f(z) then, h'(2) = ND g(z) 3. If h(1) = 2x + f(z)g(z) then, h'(3) =I %3D 4. If h(x) g(z) then, h'(4) 105 144 f(x) If you believe that a value is not defined, type "ND"
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