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Duplicate of Derivatives Flashcards | StudBud
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Duplicate of Derivatives
Duplicate of Derivatives
20 terms
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Practice and understand the basics for finding derivatives #calculus #deriviative
Flashcards
20 cards
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Questions
20
Answers
1
Find the derivative of y = e
sin(x)
ecos(x)
esin(x)
sin(x)ecos(x)
cos(x)esin(x)
2
If the derivative of a function is zero everywhere, the function is most likely...
growing exponentially
concave up
constant
everywhere zero
3
What is the rule shown in the image
Product Rule
Chain Rule
None of the above
Quotient Rule
4
What is the derivative of f(x) = 3x (x
2
- 6x)
4
12x (x2 - 6x)3(2x - 6)
3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
12x (x2 - 6x)3
3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)
5
What is the derivative of f(x) = cos
-1
(7x)
7/√(1+49x2)
-1/√(1-49x2)
-7/√(1-49x2)
-1/√(1+49x2)
6
What is the derivative of the function f(x) = cos(x) + 7x
3
sin(x) + 21x2
csc2(x) + 21x2
-sin(x) + 21x2
-cos(x) + 21x2
7
Find the derivative of y = csc(x)
-csc(x)cot(x)
csc2(x)
sec(x)
sec(x)tan(x)
8
What is the derivative of f(x) = ln(3)
1/3x
3/x
0
1/3
9
What is the rule shown in the image
Product Rule
Chain Rule
Quotient Rule
None of the above
10
What is another name for the first derivative of distance with respect to time?
Velocity
Acceleration
Jerk
Speed
11
What is the derivative of f(x) = cot
-1
(3x)
-1/√(1-9x2)
-1/9x2+1
-3/9x2+1
-3/3x√(9x2-1)
12
What is the derivative of f(x) = 2x
21
+ 5x
5
+ 2
42x20 + 25x4 + 2x
42x21 + 25x5 + 2
42x21 + 25x5
42x20 + 25x4
13
The derivative of a function is referred to as the...
None of the above
zero of a function
set of solutions of an equation
slope of a line
14
Find the derivative of e
ln(2x-1)
0
eln^(2x-1)
2
2eln^(2x-1)
15
What is the derivative of the function f(x) = x
5
+ 4x
2
- 13
5x4 - 8x
5x4 + 8x
(1/6)x6 + (4/3)x3 - 13x
5x + 8x
16
What is the rule shown in the image
Chain Rule
Product Rule
None of the above
Quotient Rule
17
What is another name for the second derivative of distance with respect to time?
Velocity
Acceleration
Speed
Jerk
18
Differentiate the function f(x) = e
x^4
ex^4
4x3
4x3ex^3
4x3ex^4
19
What is the derivative of y = x + cot(x)
1-csc2(x)
1+sec2(x)
1-sec2(x)
1+csc2(x)
20
What is the derivative of the function f(x) = (2x
2
+ 4x)
5
5(4x + 4)4
5(2x2 + 4x)4(4x + 4)
(2x2 + 4x)4(4x + 4)
5(2x2 + 4x)(4x + 4)
