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Derivatives of x to a power Flashcards | StudBud
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Derivatives of x to a power
The derivative of f(x) = -22 is
The derivative of f(x) = -3x5 is
Derivatives of x to a power
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f(x)=ax^n f'(x)=an x^(n-1)
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Answers
1
The derivative of f(x) = -3x
5
is
-15x4
x4
25x5
15x4
2
The derivative of f(x) = -22 is
x
2
2x
0
3
For the curve f(x) = x
3
+ x
2
- x, what is the slope of the tangent curve at x = 2?
10
16
15
14
4
The derivative of f(x) = -3x
2
is
3
6x
6x2
-6x
5
If f(x) = 3x, find f'(5).
-5
3
1/5
0
6
The derivative of f(x) = 3x
2
is
3x2
6x
3x
6x2
7
If f(x) = x
2
- 6x + 9, find f'(-1).
-8
-4
16
-5
8
The derivative of f(x) = -22 is
x
2
0
2x
9
If f(x) = 2x
2
+ 3x, find f'(2).
11
8
5
14
10
The derivative of f(x) = 2/(x
3
) is ... (hint f(x) = 2x
-3
)
6x-4
3x-2
6x-2
-6x-4
11
If f(x) = 3x, find f'(5).
1/5
3
-5
0
12
The derivative of f(x) = -3x
-2
is
-6x-3
6x-1
6x-3
-6x-1
13
The derivative of f(x) = 3√x is ( hint f(x)=x
1/2
)
-\frac{3}{2}√x
\frac{3}{2}
-\frac{1}{2}x-1/2
\frac{3}{2} x-1/2
