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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
What is the derivative of the function f(x) = (2x
2
+ 4x)
5
5(2x2 + 4x)(4x + 4)
5(2x2 + 4x)4(4x + 4)
5(4x + 4)4
(2x2 + 4x)4(4x + 4)
2
Find the derivative of e
ln(2x-1)
2eln^(2x-1)
0
eln^(2x-1)
2
3
If the derivative of a function is zero everywhere, the function is most likely...
concave up
growing exponentially
everywhere zero
constant
4
What is the derivative of the function f(x) = cos(x) + 7x
3
csc2(x) + 21x2
sin(x) + 21x2
-sin(x) + 21x2
-cos(x) + 21x2
5
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
6
What is the derivative of y = x + cot(x)
1-csc2(x)
1-sec2(x)
1+sec2(x)
1+csc2(x)
7
What is the derivative of f(x) = 2x
21
+ 5x
5
+ 2
42x21 + 25x5 + 2
42x20 + 25x4 + 2x
42x20 + 25x4
42x21 + 25x5
8
What is the derivative of the function f(x) = x
5
+ 4x
2
- 13
5x4 + 8x
5x4 - 8x
5x + 8x
(1/6)x6 + (4/3)x3 - 13x
9
Find the derivative of y = e
sin(x)
cos(x)esin(x)
ecos(x)
sin(x)ecos(x)
esin(x)
10
Differentiate the function f(x) = e
x^4
4x3ex^4
4x3ex^3
ex^4
4x3
11
What is the rule shown in the image
Chain Rule
None of the above
Quotient Rule
Product Rule
12
What is another name for the second derivative of distance with respect to time?
Velocity
Speed
Jerk
Acceleration
13
What is the derivative of f(x) = ln(3)
3/x
1/3
1/3x
0
14
What is the derivative of f(x) = cot
-1
(3x)
-1/9x2+1
-3/9x2+1
-1/√(1-9x2)
-3/3x√(9x2-1)
15
What is the derivative of f(x) = cos
-1
(7x)
7/√(1+49x2)
-1/√(1-49x2)
-7/√(1-49x2)
-1/√(1+49x2)
16
What is another name for the first derivative of distance with respect to time?
Speed
Jerk
Velocity
Acceleration
17
What is the rule shown in the image
Product Rule
None of the above
Chain Rule
Quotient Rule
18
What is the derivative of f(x) = 3x (x
2
- 6x)
4
12x (x2 - 6x)3(2x - 6)
12x (x2 - 6x)3
3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)
19
Find the derivative of y = csc(x)
csc2(x)
-csc(x)cot(x)
sec(x)
sec(x)tan(x)
20
What is the rule shown in the image
None of the above
Product Rule
Quotient Rule
Chain Rule
