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