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Duplicate of Duplicate of AP Calculus Basic Derivatives Flashcards | StudBud
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Duplicate of Duplicate of AP Calculus Basic Derivatives
Duplicate of Duplicate of AP Calculus Basic Derivatives
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Power Rule and Graphs of Derivatives
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Questions
7
Answers
1
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The cost to shred 500 pounds of documents is $80.
Increasing the weight by 500 lbs increases the cost by $80
The average cost to shred documents is $(80/500) per pound.
The cost to shred is changing at a rate of $80/lb when w=500
2
Let f (x) = 6x
1/2
. What is the instantaneous rate of change at x = 4?
6
3
3/4
3/2
3
Find the derivative of f(x) = 7x
-1
f ' (x) = -7x-1
f ' (x) = -7x
f ' (x) = 7x-2
f ' (x) = -7x-2
4
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
24
16
-24
-16
5
Determine the x-value(s), if any, at which f (x) = x
3
+ 6x - 2 has a horizontal tangent.
The graph has no horizontal tangents
x = 2
x = 3
x = -2
6
Name these functions in order from f to f' to f".
I II III
III I II
II I III
II III I
7
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
7
8
6
2
