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Calculus Final Project Derivatives Review Game Flashcards | StudBud
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Calculus Final Project Derivatives Review Game
Calculus Final Project Derivatives Review Game
25 terms
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StudBud Administration
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2 plays
Catchup on what you forget about derivatives.
Flashcards
25 cards
F
Practice quiz
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Host live
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Questions
25
Answers
1
What is the derivative of ln(e
18x
)?
e18x
1/e18x
18
-18
2
What is a derivative?
The slope of a secant line
The inverse of a function
The instantaneous rate of change of a function
The area under a curve
3
What is the derivative of arcsin(x
3
)?
-x3cos(3x2)
Non-differentiable
3x2∕√(1-x9)
3x2sin(x3)
4
What is the derivative of log
7
(4x-9)?
(4x-9)/7
ln(28x-63)
4/(ln(7)×(4x-9))
4
5
What is the derivative of arccot(9x
3
-72x
2
+16x+34)?
(-27x2+144x-16)/(1+(9x3-72x2+16x+34)2)
-27x2+144x-16
(27x2-144x+16)/(1+(9x3-72x2+16x+34)2)
27x2-144x+16
6
What kind of lines are derivatives the slope of?
Parallel Lines
Vertical Lines
Tangent Lines
Diameters
7
What is the derivative of x
17
?
x18/18+c
17x16
17x17
16x17
8
What is the derivative of (7x+3)/(2x
2
-8x+1)?
7/(4x-8)
(7x+3)/(2x2-8x+1)2
(-14x2-12x+31)/(2x2-8x+1)2
28x-56
9
What is the second derivative of 3x
4
-31x
3
+49x
2
+17x-12?
36x3-186x2+98x
72x-186
12x3-93x2+98x+17
36x2-186x+98
10
What is the derivative of (10x
2
+43)×ln(36x-23)?
20x+36
36(10x2+43)/(36x-23)+20xln(36x-23)
360x3-230x2+1548x-989
(10x2+43)/(36x-23)
11
What is the derivative of √(91x
2
-73x+13)?
182x-73
(182x-73)/2√(91x2-73x+13)
1/(91x2-73x+13)
1/2√(91x2-73x+13)
12
What is the limit where h approaches 0 of (csc
2
(x+h)-csc
2
(x))/h?
-2csc2(x)cot(x)
DNE
0
-cot(x)
13
What is the second derivative of 12x
3
-25x
2
at x=3?
216
166
324
99
14
What is the derivative of e
(2x-1)(7x+3)
?
e(2x-1)(7x+3)(28x-1)
14
28x-1
e(2x-1)(7x+3)
15
What is the derivative of ln(13x
2
+7x-8)?
(26x+7)/(13x2+7x-8)
26x+7
13x2+7x-8
ln(12)
16
What is the derivative of csc(82x
2
-19)?
164xcsc(82x2-19)cot(82x2-19)
164x
82x3/3-19x
-164xcsc(82x2-19)cot(82x2-19)
17
What is the derivative of 8x
3
-5x+2 at x=4?
379
215
147
78
18
What is the derivative of e
17x^3-7x^2+5x-2
?
e17x^3-7x^2+5x-2(51x2-14x+5)
ln(51x2-14x+5)
e17x^3-7x^2+5x-2+c
17x3-7x2+5x-2
19
What is the derivative of sin(cos(tan(x)))?
-cos(cos(tan(x)))sin(tan(x))sec2(x)
sin)cos(tan(x))+c
sec2(sin(cos(x)))
cos(tanx))sin(x)
20
Do vertical tangent lines exist?
Yes
Honestly I Don’t Know
No
Maybe
21
What is the derivative of ln(sin(3x+2))?
3cot(3x+2)
-3cot(3x+2)
3cos(3x+2)
1/sin(3x+2)
22
What is the second derivative of 17x
3
+31x
2
-14x-23?
51x2+62x-14
DNE
17x4/4+31x3/3-7x2-23x+c
102x+62
23
What is the derivative at a horizontal asymptote?
25
0
1
DNE
24
What is the derivative of (x-7)
7x
?
7(x-7)7x(x/(x-7)+ln(x-7))
7(x-&)x
7ln(x-7)×(x-7)7x
7x(x-7)7x-1
25
What is the derivative of cos(e
3x
)?
sec(e3x)
-3e3xsin(e3x)
3e3xcos(e3x)
3e3x
