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AP Calculus Basic Derivatives Flashcards | StudBud
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AP Calculus Basic Derivatives
AP Calculus Basic Derivatives
8 terms
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Power Rule and Graphs of Derivatives
Flashcards
8 cards
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Practice quiz
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Questions
8
Answers
1
Find the derivative of f(x) = 4x
1/
2
+ 2
f ' (x) = 2x-1/2
f ' (x) = 8x-1/2 + 2
f ' (x) = 8x-1/2
f ' (x) = 2x1/2
2
Let f (x) = x
4
+ 3x + 6. Find f'(1).
4
7
3
10
3
Find the average rate of change of f(x) = x
2
+ 2x over the interval [1, 2]
7
4
6
5
4
Find the derivative of f(x) = x
4
+ 5x
f ' (x) = 12x3 + 5x
f ' (x) = 4x2 + 5
f ' (x) = 4x3
f ' (x) = 4x3 + 5
5
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
-16
-24
16
24
6
Find the derivative of f(x) = 7x
-1
f ' (x) = -7x-1
f ' (x) = -7x-2
f ' (x) = 7x-2
f ' (x) = -7x
7
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
2
6
7
8
8
Let f (x) = 6x
1/2
. Find f'(4).
3/4
3/2
3
6
