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Derivatives Review #2 Flashcards | StudBud
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Derivatives Review #2
Derivatives Review #2
20 terms
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Practice and understand the basics for finding derivatives #calculus #deriviative
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Answers
1
What is the derivative of the function f(x) = cos(x) + 7x
3
-cos(x) + 21x2
sin(x) + 21x2
csc2(x) + 21x2
-sin(x) + 21x2
2
What is the rule shown in the image
None of the above
Quotient Rule
Product Rule
Chain Rule
3
Differentiate the function f(x) = e
x^4
4x3ex^4
ex^4
4x3
4x3ex^3
4
What is the derivative of f(x) = ln(3)
1/3x
3/x
0
1/3
5
What is the derivative of y = x + cot(x)
1+csc2(x)
1-csc2(x)
1+sec2(x)
1-sec2(x)
6
Find the derivative of y = e
sin(x)
sin(x)ecos(x)
cos(x)esin(x)
esin(x)
ecos(x)
7
What is the rule shown in the image
Quotient Rule
Product Rule
None of the above
Chain Rule
8
What is the derivative of the function f(x) = (2x
2
+ 4x)
5
5(2x2 + 4x)(4x + 4)
(2x2 + 4x)4(4x + 4)
5(2x2 + 4x)4(4x + 4)
5(4x + 4)4
9
What is another name for the first derivative of distance with respect to time?
Jerk
Velocity
Speed
Acceleration
10
What is the derivative of f(x) = cot(3x)
-3csc(3x)
-csc2(3x)
3cot(3x)
-3csc2(3x)
11
What is the rule shown in the image
None of the above
Quotient Rule
Product Rule
Chain Rule
12
What is the derivative of the function f(x) = x
5
+ 4x
2
- 13
(1/6)x6 + (4/3)x3 - 13x
5x4 + 8x
5x + 8x
5x4 - 8x
13
Find the derivative of e
ln(2x-1)
0
eln^(2x-1)
2eln^(2x-1)
2
14
What is the derivative of f(x) = cos
2
(7x)
-14cos(7x)sin(7x)
14cos(7x)sin(7x)
14cos(7x)
2cos(7x)
15
What is the derivative of f(x) = 2x
21
+ 5x
5
+ 2
42x21 + 25x5
42x20 + 25x4 + 2x
42x21 + 25x5 + 2
42x20 + 25x4
16
Find the derivative of y = csc(x)
-csc(x)cot(x)
sec(x)tan(x)
csc2(x)
sec(x)
17
The derivative of a function is referred to as the...
zero of a function
slope of a normal to the line
set of solutions of an equation
slope of a tangent to the line
18
What is another name for the second derivative of distance with respect to time?
Jerk
Speed
Acceleration
Velocity
19
If the derivative of a function is zero everywhere, the function is most likely...
concave up
constant
growing exponentially
everywhere zero
20
What is the derivative of f(x) = 3x (x
2
- 6x)
4
12x (x2 - 6x)3
3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)
3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
12x (x2 - 6x)3(2x - 6)
