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RAHS AP Calc: Derivatives Review Flashcards | StudBud
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RAHS AP Calc: Derivatives Review
RAHS AP Calc: Derivatives Review
21 terms
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StudBud Administration
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Practice and understand the basics for finding derivatives #calculus #deriviative
Flashcards
21 cards
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Questions
21
Answers
1
Find the derivative of y = e
sin(x)
cos(x)esin(x)
esin(x)
sin(x)ecos(x)
ecos(x)
2
Find the derivative of e
ln(2x-1)
2eln^(2x-1)
2
eln^(2x-1)
0
3
What is the derivative of y = x + cot(x)
1+sec2(x)
1+csc2(x)
1-sec2(x)
1-csc2(x)
4
What is the rule shown in the image
Chain Rule
Quotient Rule
None of the above
Product Rule
5
Differentiate the function f(x) = log
3
x
1 / (x⋅ln 3)
3 / x
(ln3) / x
1 / (3x)
6
What is the derivative of f(x) = ln(3)
1/3
0
1/3x
3/x
7
What is the derivative of the function f(x) = cos(x) + 7x
3
sin(x) + 21x2
-cos(x) + 21x2
csc2(x) + 21x2
-sin(x) + 21x2
8
What is the derivative of f(x) = 2x
21
+ 5x
5
+ 2
42x20 + 25x4
42x20 + 25x4 + 2x
42x21 + 25x5 + 2
42x21 + 25x5
9
What is the rule shown in the image
Quotient Rule
Chain Rule
None of the above
Product Rule
10
The derivative of a function is referred to as the...
slope of a line
None of the above
set of solutions of an equation
zero of a function
11
What is the derivative of f(x) = ln x
ln x
1/x
1x
0
12
What is Mr. Anderson's favorite number?
28
7
128
8
13
What is the rule shown in the image
Chain Rule
None of the above
Quotient Rule
Product Rule
14
What is the derivative of f(x) = cot
-1
(3x)
-1/9x2+1
-3/3x√(9x2-1)
-1/√(1-9x2)
-3/9x2+1
15
What is another name for the first derivative of a position function?
Velocity
Jerk
Speed
Acceleration
16
What is another name for the second derivative of a position function?
Speed
Jerk
Acceleration
Velocity
17
What is the derivative of the function f(x) = (2x
2
+ 4x)
5
5(4x + 4)4
5(2x2 + 4x)(4x + 4)
(2x2 + 4x)4(4x + 4)
5(2x2 + 4x)4(4x + 4)
18
What is the derivative of f(x) = 3(5
x
)
3(5x)
3(5x)(ln 5)
(5x)(ln 5)
0
19
What is the derivative of the function f(x) = x
5
+ 4x
2
- 13
(1/6)x6 + (4/3)x3 - 13x
5x4 + 8x
5x4 - 8x
5x + 8x
20
Find the derivative of y = csc(x)
-csc(x)cot(x)
sec(x)tan(x)
csc2(x)
sec(x)
21
If the derivative of a function is zero everywhere, the function is most likely...
constant
concave up
growing exponentially
everywhere zero
