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Duplicate of Derivatives: Power Rule and more..... Flashcards | StudBud
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Duplicate of Derivatives: Power Rule and more.....
Duplicate of Derivatives: Power Rule and more.....
16 terms
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StudBud Administration
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#derivatives #differentiation #calculus #differentiate
Flashcards
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Questions
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Answers
1
The derivative of f(x) = 1/(x
3
)
3x-2
3x-4
-3x-4
2x-2
2
find the derivative of y = (3x
2
- 5)(7 - x)
-3x2 + 42x - 5
-9x2 + 42x + 5
-3x2 - 42x + 5
-9x2 + 42x - 5
3
The derivative of f(x) = -x
-2
+ 4
2x -3
-2x -3
2x -1
-2x -1
4
If f(x) = 2x
2
+ 3x, find f'(2).
11
8
5
14
5
For what value of x will the function y = 3x
2
-x have vertical normals?
-1/3
1/6
-3
-6
6
The derivative of f(x) = 2x
5
10x
10x4
25x5
x4
7
The derivative of f(x) = √x
-½√x
-½ x -1/2
½ x -1/2
½ x
8
If f(x) = x
2
- 6x + 9, find f'(-1).
-5
-1
-8
16
9
The derivative of f(x)=x
2
+ x
2x2
2x + x
2x + 1
2x
10
For what value of x will the funtion y = 3x
2
-x have horizontal tangents?
-1/3
3
1/6
-6
11
How do you find the x values where f(x) has horizontal tangents?
f ' (x) = 0
f(0)=?
f(x) = 0
f ' (0) = ?
12
If the slope of the tangent line to f(x) is 2, what is the slope of the normal line?
2
-2
-1/2
1/2
13
The derivative of f(x) = 3x
100
300x
300x99
300x101
300
14
If f(x) = 2x
3
, find f'(-1).
6
6x2
-6x2
-6
15
What is the equation of the tangent to the line y = 3x
2
+4x at the point x = 2?
y - 2 = 16(x-20)
y - 20 = 12(x-2)
y - 20 = -1/16(x-2)
y - 20 = 16(x-2)
16
Write the equations of a line parallel to y = -3x + 9 that passes through the point (-1, 7)
y = -3x + 1
y - 7 = -3(x + 1)
y = -3x + 7
y +1 = -3(x - 7)
