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Derivatives: Power Rule and more..... Flashcards | StudBud
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Derivatives: Power Rule and more.....
Derivatives: Power Rule and more.....
15 terms
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StudBud Administration
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#derivatives #differentiation #calculus
Flashcards
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Questions
15
Answers
1
The derivative of f(x) = 2x
5
10x4
10x
25x5
x4
2
The derivative of f(x) = -x
-2
+ 4
2x -3
2x -1
-2x -3
-2x -1
3
find the derivative of y = (3x
2
- 5)(7 - x)
-9x2 + 42x - 5
-3x2 + 42x - 5
-3x2 - 42x + 5
-9x2 + 42x + 5
4
The derivative of f(x) = 2
e
2
0
2x
x
5
The derivative of f(x) = √x
-½ x -1/2
-½√x
½ x -1/2
½ x
6
f(x) = 5x
3
-4x
2
+3x-4
f'(x) = 15x2-8x+3
f'(x) = 15x2-8x+3-4
f'(x) = 15x2+8x+3
f'(x) = 8x2+6x+3
7
The derivative of f(x) = 1/(x
3
)
2x-2
3x-4
-3x-4
3x-2
8
If f(x) = 2x
3
, find f'(-1).
-6x2
6
-6
6x2
9
Write the equations of a line parallel to y = -3x + 9 that passes through the point (-1, 7)
y +1 = -3(x - 7)
y = -3x + 7
y - 7 = -3(x + 1)
y = -3x + 1
10
What does the first derivative of a function represent?
Tangent Line
The difference Quotient
IDK
SLOPE of tangent line
11
Given (-3, 7 ) and (-3, 13), find the slope.
Undefined
-1
1
0
12
If f(x) = x
2
- 6x + 9, find f'(-1).
-5
-1
16
-8
13
The derivative of f(x) = 3x
100
300x
300
300x99
300x101
14
The derivative of f(x)=x
2
+ x
2x2
2x
2x + 1
2x + x
15
If f(x) = 2x
2
+ 3x, find f'(2).
11
8
5
14