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