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