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Duplicate of AP Calculus Basic Derivatives Flashcards | StudBud
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Duplicate of AP Calculus Basic Derivatives
Duplicate of 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
Let f (x) = 5x
2
. Find an equation of the tangent line to f(x) at x = 2.
y-40 = 20 (x-2)
y-10 = 10 (x-2)
y-20 = 20 (x-2)
y-20 = 10 (x-2)
2
Find the derivative of f(x) = 4x
1/
2
+ 2
f ' (x) = 2x-1/2
f ' (x) = 8x-1/2 + 2
f ' (x) = 2x1/2
f ' (x) = 8x-1/2
3
Given the graph of f ' (x), on what interval(s) is f(x) decreasing?
(10, 15)
(0, 10) and (15, 20)
(12.5, 20)
(5, 12.5)
4
Given the graph of f ' (x), on what interval(s) is f decreasing?
(0, 4)
(3, 5)
(4, 6)
(0, 2) and (3, 5)
5
Let f (x) = x
4
+ 3x + 6. What is the instantaneous rate of change of f at x = 1?
10
7
3
4
6
Find the derivative of f(x) = 7x
-1
f ' (x) = -7x
f ' (x) = -7x-2
f ' (x) = -7x-1
f ' (x) = 7x-2
7
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
16
-24
-16
24
8
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
7
2
8
6
