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Derivatives (Power Rule)
The derivative of f(x) = 1/(x3) is
The derivative of f(x) = x5 is
Derivatives (Power Rule)
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Answers
1
The derivative of f(x) = x
5
is
25x5
5x
5x4
x4
2
The derivative of f(x) = 1/(x
3
) is
-3x-4
2x-2
3x-2
3x-4
3
The derivative of f(x)=x
2
is
x
2
2x2
2x
4
The derivative of f(x) = 3x
2
is
6x
6x2
3x2
3x
5
The derivative of f(x) = 2 is
x
2x
2
0
6
If f(x) = x
2
- 6x + 9, find f'(-1).
-1
16
-8
-5
7
The derivative of f(x) = x
-2
is
2x-1
-2x-1
2x-3
-2x-3
8
The derivative of f(x) = √x is
½
½x-1/2
-½√x
-½x-1/2
9
If f(x) = 2x
2
+ 3x, find f'(2).
14
5
11
8
10
If f(x) = 3x, find f'(5).
-5
1/5
0
3
11
For the curve f(x) = x
3
+ x
2
- x, what is the slope of the tangent curve at x = 2?
16
15
14
10
