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