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