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