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Duplicate of Power Rule - Derivatives Flashcards | StudBud
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Duplicate of Power Rule - Derivatives
Duplicate of Power Rule - Derivatives
20 terms
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20 plays
calculus simple derivatives
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Questions
20
Answers
1
What is the derivative of 4x - 21?
4x
4
4-x
2x
2
What is the derivative of 9x?
9
-9
0
x
3
What is the derivative of 2x
-3
?
2x2
6x2
-6x-4
-6x
4
Let f (x) = x
4
+ 3x + 6. What is the instantaneous rate of change of f at x = 1?
10
7
3
4
5
What is the derivative of 5x
-3
?
15x2
-15x-2
-15x
-15x-4
6
What is the derivative of -x?
1
-x
-1
x
7
rewrite √(x
3
) so the power rule can be applied.
x2/3
x-3/2
x3/2
x-2/3
8
Let f(x) = -2x
3
+ x
2
- 4x. What is the slope of the tangent line at x = 2 ?
-24
16
-16
24
9
What is the derivative of 7x?
7x
1
7
x
10
What is the derivative of x
2
+7?
2x
x
2x+7
x2+7
11
What is the derivative of 4x
2
?
8x
6
6x
8x2
12
What is the derivative of 4x + 3x
3
?
9x
4+9x
4+9x2
x+9x2
13
What is the derivative of π?
0
πx
π
1
14
What is the derivative of 6?
1
0
6
undefined
15
Let f(x) = 6x
1/2
. What is the instantaneous rate of change at x = 4?
3/2
3/4
3
6
16
What is the derivative of x?
1
-x
x
-1
17
Given f(x) = x
4
+ x
3
- x + 1, what is f ' (1) ?
8
6
2
7
18
Find the average rate of change of f(x) = x
2
+ 2x over the interval (1, 2).
7
6
4
5
19
What is the derivative of 4x - 30?
4-x
4x
2x
4
20
What is the derivative of x
5
?
x4
5x
5x4
4x5
