Using the Rules for Finding the Derivative of a Function. 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 f(x) −5 g(x) df dx dg dx 1 2 3 4 0 3 4 1 0 -1 -8 6 4 2 0 1. If h(x) = 2f(x) + 5g(x) then, h'(1) 2. If h(x) = 4f(x) — 4g(x) then, h'(2) 3. If h(x) = −8f(x) — 7g(x) then, h'(4) : If you believe that a value is not defined, type 'ND' -3 0 -3 -12
Using the Rules for Finding the Derivative of a Function. 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 f(x) −5 g(x) df dx dg dx 1 2 3 4 0 3 4 1 0 -1 -8 6 4 2 0 1. If h(x) = 2f(x) + 5g(x) then, h'(1) 2. If h(x) = 4f(x) — 4g(x) then, h'(2) 3. If h(x) = −8f(x) — 7g(x) then, h'(4) : If you believe that a value is not defined, type 'ND' -3 0 -3 -12
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 38CR: Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3x
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![Using the Rules for Finding the Derivative of a Function.
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
f(x) −5
g(x)
df
dx
dg
dx
2
3
0
3
1 0 -1
6 4 2
1. If h(x) = 2f(x) + 5g(x) then, h'(1)
2. If h(x) = 4f(x) — 4g(x) then, h' (2)
3. If h(x) = −8f(x) — 7g(x) then, h'(4) =
If you believe that a value is not defined, type 'ND'
4
4
-8
0
-3 0 −3 −12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71e00fed-fbfc-4ce9-b7ec-b9bdb0f9060f%2F94a93a21-e206-4f51-848b-d3b2ab8cc9e1%2F6b130s_processed.png&w=3840&q=75)
Transcribed Image Text:Using the Rules for Finding the Derivative of a Function.
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
f(x) −5
g(x)
df
dx
dg
dx
2
3
0
3
1 0 -1
6 4 2
1. If h(x) = 2f(x) + 5g(x) then, h'(1)
2. If h(x) = 4f(x) — 4g(x) then, h' (2)
3. If h(x) = −8f(x) — 7g(x) then, h'(4) =
If you believe that a value is not defined, type 'ND'
4
4
-8
0
-3 0 −3 −12
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