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Derivatives (Power Rule)
If f(x) = 3x, find f'(5).
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
-5
-1
-8
2
If f(x) = 3x, find f'(5).
-5
3
0
1/5
3
The derivative of f(x) = x
5
is
x4
25x5
5x
5x4
4
The derivative of f(x)=x
2
is
2x
x
2
2x2
5
The derivative of f(x) = √x is
½x-1/2
-½x-1/2
½
-½√x
6
The derivative of f(x) = 2 is
0
x
2x
2
7
The derivative of f(x) = 1/(x
3
) is
2x-2
3x-2
3x-4
-3x-4
8
The derivative of f(x) = x
-2
is
-2x-1
-2x-3
2x-3
2x-1
9
If f(x) = 2x
2
+ 3x, find f'(2).
5
14
8
11
10
The derivative of f(x) = 3x
2
is
6x
3x
3x2
6x2