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Derivative Review (Unit 3.1- 3.3) Flashcards | StudBud
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Derivative Review (Unit 3.1- 3.3)
Derivative Review (Unit 3.1- 3.3)
14 terms
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StudBud Administration
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251 plays
Covers part of unit 3 from Calculus: Single Variable 5th edition.
Flashcards
14 cards
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Practice quiz
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Host live
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Questions
14
Answers
1
Find the derivative of sin(x).
-cos(x)
-sin(x)
cos(x)
sin(x)cos(x)
2
What is d/dx of f(x) = 5x
2
-6x
2
+2 @ x=8?
900
866
862
864
3
The power rule can be used to solve f(x) = 10.5e
x
True
False
4
Find the slope of the line of f(x) = (2x-1)/(x+2)
2x2-2x+1/(x2)
5x/(x+2)2
5x-x
?
5
Find f"(x) for 7x
3
-10x
0
42x
42
21x2-10
6
What would be the
simplest
way to solve d/dx of x
3
?
The Power Rule
The Quotient Rule
The Sum Rule
Beats Me!
7
Find d/dz of (z
3
-3z
2
)
3z2-2z
2z3 -6z
3z2-6z
2z2-9z
8
What is the derivative of f(x) = 4x
3
-3x
2
+ 2x - 3
f'(x) = 12x2 - 6x +2
?
f'(x)= 12x3-6x2+2
f'(x) = x4-x3+x2-3x
9
Can you use both the product rule and distributing to find d/dx of x
2
(x
3
+5)
I give up
No, only the product rule
No, only distributing
Yes, you can use both
10
Find d/dx of f(x) = 10x
3
-5x +9
30x3-5x
50x2+9
30x2-5
10x3-5
11
The path of a ball thrown can be modeled by f(t) = -16t
2
+8t+9. What is f"(t) in (m/s
2
)?
-32t + 8 m/s2
9 m/s2
-16t2 m/s2
-32 m/s2
12
Given f(x) = 1/x and f'(x)= -1/(x)
2
, what is f"(x)?
4x/x4
2x/(x2)2
-2x/x2
1/x4
13
What is
NOT
one of the ways to find the derivative of f(x) = 4x
5
+ 9x
3
-3x?
Multiplying by a constant
The Sum Rule
The Quotient Rule
The Power Rule
14
What rule(s) can you use to solve g(x) = 25x
2
/e
x
?
The Power Rule
The Quotient Rule
The Product Rule
The d/dx (ex)
