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Calculus Basic Derivatives Flashcards | StudBud
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Calculus Basic Derivatives
Calculus Basic Derivatives
10 terms
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Power Rule and Graphs of Derivatives
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
Let f (x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
24
16
-16
-24
2
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
3
Let f (x) = 6x
1/2
. What is the instantaneous rate of change at x = 4?
6
3
3/4
3/2
4
At which x - value(s) is the graph shown not differentiable?
x =1
x = 0 and x =1
x = 0
x = -2 and x = 2
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 = 3
x = 2
x = -2
6
Find the average rate of change of f(x) = x
2
+ 2x over the interval (1, 2)
4
6
7
5
7
Let f (x) = x
4
+ 3x + 6. What is the instantaneous rate of change of f at x = 1?
3
10
4
7
8
Given f (x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
7
6
2
8
9
Find the derivative of f(x) = x
4
+ e
x
f ' (x) = 4x2 + e
f ' (x) = 4x3 + ex
f ' (x) = 12x3 + x
f ' (x) = 4x3
10
Find the derivative of f(x) = 7x
-1
f ' (x) = 7x-2
f ' (x) = -7x
f ' (x) = -7x-2
f ' (x) = -7x-1
