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Derivatives (Power Rule)
The derivative of f(x) = x-2 is
If f(x) = x2 - 6x + 9, find f'(-1).
Derivatives (Power Rule)
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Answers
1
If f(x) = x
2
- 6x + 9, find f'(-1).
16
-8
-5
-1
2
The derivative of f(x) = x
-2
is
-2x-3
-2x-1
2x-3
2x-1
3
The derivative of f(x) = √x is
½x-1/2
½
-½√x
-½x-1/2
4
The derivative of f(x) = 2 is
x
2
2x
0
5
If f(x) = 3x, find f'(5).
-5
3
0
1/5
6
If f(x) = 2x
2
+ 3x, find f'(2).
5
11
8
14
7
The derivative of f(x) = x
2
is
x
2x
2x2
2
8
The derivative of f(x) = x
5
is
5x
x4
5x4
25x5
9
The derivative of f(x) = 1/(x
3
) is
3x-4
3x-2
-3x-4
2x-2
10
The derivative of f(x) = 3x
2
is
3x2
3x
6x
6x2
11
For the curve f(x) = x
3
+ x
2
- x, what is the slope of the tangent curve at x = 2?
15
14
10
16
