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AP Calculus Basic Derivatives Flashcards | StudBud
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AP Calculus Basic Derivatives
AP Calculus Basic Derivatives
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Power Rule and Graphs of Derivatives
Flashcards
9 cards
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Practice quiz
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Questions
9
Answers
1
Which function is its own derivative?
f(x) = sin x
f(x) = x2
f(x) = ex
f(x) = x
2
Let f (x) = 6x
1/2
. What is the instantaneous rate of change at x = 4?
3/4
6
3/2
3
3
Find the derivative of f(x) = 4x
1/
2
+ 2
f ' (x) = 8x-1/2 + 2
f ' (x) = 2x-1/2
f ' (x) = 8x-1/2
f ' (x) = 2x1/2
4
Let f (x) = 5x
2
. Find an equation of the tangent line to f(x) at x = 2.
y-10 = 10 (x-2)
y-20 = 10 (x-2)
y-20 = 20 (x-2)
y-40 = 20 (x-2)
5
Find the derivative of f(x) = x
4
+ 5x
f ' (x) = 4x3 + 5
f ' (x) = 4x2 + 5
f ' (x) = 4x3
f ' (x) = 12x3 + 5x
6
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
-24
16
24
-16
7
Find the derivative of f(x) = 7x
-1
f ' (x) = -7x-2
f ' (x) = -7x-1
f ' (x) = 7x-2
f ' (x) = -7x
8
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
7
8
6
2
9
Let f (x) = x
4
+ 3x + 6. What is the instantaneous rate of change of f at x = 1?
3
10
7
4
