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Calculus Review of Early Derivative Rules Flashcards | StudBud
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Calculus Review of Early Derivative Rules
Calculus Review of Early Derivative Rules
26 terms
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#Calculus #Derivatives #QoutientRule #Product Rule #TrigDerivatives
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Answers
1
Derive: Exercise 2
((2x)(x)-(1)(x)) / (x2 + 1)2
((2x)(x)-(1)(x2+1)) / (x)2
((2x)(x)-(1)(x2+1)) / (x2 + 1)2
(x)2 / ((2x)(x)-(1)(x2+1))
2
25
11
8
24
-5/2
3
Derive #3
-1(x-2) + 5cos(x)
-1(x-2) + 5cos(x)sin(x)
-1(x-2) + cos(x)
(x-2) + 5cos(x)
4
Derive: Exercise 3
6x - 2(-1(x-2) + 5(-2(x-3)
6x2 - 2(-1(x2) + (-2(x-3)
6 - 2(-1(x-2) - 5(-2(x-3)
6x - 2(1(x-2) + 5(-2(x-3)
5
Derive #8
15x3 - 15x5
15x4 - 15x2
15x2 - 15x4
x2 - x4
6
Derive #1
1 - (cos(x))
1 - (-sin(x))
1 - (sin(x))
x - (-sin(x))
7
Derive #7
12x2 - 21x2 + 4x
4x3 - 21x2 + 4x
4x3 - 21x2 + 4
- 4x3 - 21x2 - 4x
8
Derive #5
3x2 + 2x + 1
x2 + x + 1
- 2x + 1
3x2 + 2x
9
Question 11
(y - 0) = cos(pi)(x-pi)
(y - 3) = cos(pi)(x-0)
(y - 3) = sin(pi)(x-pi)
(y - 3) = cos(pi)(x-pi)
10
Derive #2
3x2
x-1
x2-1
x-1
11
24C
((2)(3) - (-4)(1)) / (3)2
((2)(8) - (-4)(1)) / (3)2
((2)(3) - (-4)(2)) / (3)2
((2)(3) - (-4)(1)) / (2)2
12
24A
(-4)(1) - (2)(3)
(4)(3) + (2)(1)
(-4)(1) + (2)(3)
(-4)(2) + (-1)(3)
13
Derive 5
(2x)(sin(x)) + (-cos(x))(x2)
(2x)(sin(x)) - (2cos(x))(x2)
(sin(x)) + (cos(x))(x2)
(2x)(sin(x)) + (cos(x))(x2)
14
Derive #3
2
x+1
-2
2+1
15
Derive #13
((2)(3x-2) - (3)(2x +5)) / (3x-2)2
((2)(3x-2) - (3)(2x +5)) / (2x + 5)2
((2)(3x-2) - (3)(2x +5)) / (3x-2)
((2x+3)(3x-2) - (3)(2)) / (3x-2)2
16
24B
((-4)(1) + (2)(3))
((-4)(1) - (2)(1)) / (1)2
((-4)(1) - (2)(3)) / (2)2
((-4)(1) - (2)(3)) / (1)2
17
Derive #1
-2x + 3
-2x
2
2x
18
Derive #6
-1 + 2x - 3x2
2x - 3x2
2 - 3x
1 + x - 3x2
19
Derive #2
2sin(x) - sec(x)tan(x)
cos(x) - sec(x)
2cos(x) - sin(x)
2cos(x) - sec2(x)
20
Derive #15
(((1)(x2+x+1) + (x-1)(2x+1))(x3) - (3x2)(x2+x+1)) / (x3)2
(x-1)(2x+1))(x3) - (3x2)(x2+x+1)) / (x3)2
(((1)(x2+x+1) - (x-1)(2x+1))(x3) / (x3)2
(2x+1))(x3) - (3x2)(x2+x+1) / (x3)2
21
Derive 4
(1)(sec(x)) + tan(x))(x)
(1)(sec(x)) + (sec(x))(x)
(1)(sec(x)tan(x))(x+1)
(1)(sec(x)) + (sec(x)tan(x))(x)
22
26
3/2
2/3
6
3
23
Derive: Exercise 1
(2x)(x-1+ 1) + (x-2)(x-2)
(x2)(x-1+ 1) + (x2-2)(-1x-2)
(2x)(x-1+ 1) + (x2-2)(-1x-2)
(2x + 2)(x2+ 1) + (x2-2)(-1x-2)
24
Derive #14
((2x + 5)(x2) - (2x)(x2 +5x -1)) / (x)2
((2x + 5)(x2) - (2x)(x2 +5x -1)) / (x2)2
(2x + 5)(x2) - (2x)(x2 +5x -1)
((2x + 5)(x2) + (2x)(x2 +5x -1)) / (x2)2
25
Derive #4
2
2x + 1 + x-1
-2x
2x +1
26
Derive 10
(-sin(x))(1+sin(x)) + (cos(x))(cos(x))
((-sin(x))(1+sin(x)) - (cos(x))(cos(x))) / (1 +sin(x))2
(-sin(x))(1+sin(x)) - (1 +cos(x))(cos(x)) / (1 +sin(x))2
(-sin(x))(1+sin(x)) - (cos(x))(cos(x))
