Trig Derivatives and Anti-derivatives

32 termsStudBud Administration5 plays

#math #calc #calculus #trig #trigonometry #derivatives #antiderivatives #trigderivatives

Flashcards32 cardsFPractice quizPHost liveL

Questions 32

Answers

1
anti-derivative of sin(x)
-sin(x) + c
-cos(x) + c
1/2 cos2(x) + c
tan(x) + c
2
derivative of sec(x²-2x+3)
sec(x2-2x+3)tan(x2-2x+3)
sec(x)tan(x2-2x+3)(2x-2)
sec(x2-2x+3)tan(x2-2x+3)(2x-2)
-tan(x2-2x+3)(2x-2)
3
anti-derivative of -sin(x)
sin(x)
-cos(x)
cos(x) + c
-cos(x) + c
4
derivative of [cos(x)]^1/2
1/2[cos(x)]-1/2(-sin(x))
-1/2 sin-1/2(x)
1/2[cos(x)]-1/2(sin(x))
-sin(x)
5
derivative of -cos(x)
-sin(x)
cos(x)sin(x)
sin(x)
cos(x)
6
derivative of tan(x)
sec2(x)
1/2 tan2(x)
csc(x)cot(x)
sec(x)tan(x)
7
anti-derivatives of sin(sin(x))
cos(sin(x))(cos(x))
2sin(x)
sin(x)cos(x)
cos(sin(x))
8
derivative of sin(x) + cos(x)
cos(x) + sin(x)
sin(x) - cos(x)
cos(x) - sin(x)
1
9
anti-derivative of sin(tan(2x))
sec2(2x)
cos(tan(x))sec2(2x)
2cos(tan(x))sec2(2x)
(tan(x))sec2(2x)
10
find f(x) when f''(x) = sin(x)
-sin(x)+c+d
-sin(x)+cx+d
cos(x)+cx+d
sin(x)+cx+dx
11
anti-derivative of cos(x)
cos(x) + c
-cos(x) + c
-sin(x) + c
sin(x) + c
12
derivative of -cot(x)
sec2(x)
csc(x)
csc2(x)
-csc2(x)
13
find f(x) when f''(x) = 3sin(x)-1
-3sin(x)- 1/2x2+cx+d
-3sin(x)- 1/2x2+c
-3cos-x+c
-3sin(x)- 1/2x2+cx
14
anti-derivative of -sec(x)tan(x)
sec(x) + c
-sec(x) + c
tan(x) + c
-tan(x) + c
15
derivative of -sin(x)
cos(x)
1/sin(x)
-sin(x)
-cos(x)
16
derivative of -cos(x)
1/cos(x)
-sin(x)
sin(x)cos(x)
sin(x)
17
anti-derivative of 5/csc(x)
5cos(x)
-5cos(x)+c
5sin(x)
-5sin(x)
18
anti-derivative of sin(x) + cos(x)
cos(x) - sin(x) + c
-cos(x) - sin(x) + c
cos(x) + sin(x) + c
-cos(x) + sin(x) + c
19
derivative of -csc(x)
-sec(x)tan(x)
csc(x)cot(x) + c
csc(x)cot(x)
sec(x)tan(x) + c
20
anti-derivative of csc²(x)
-cot(x)
csc(x)cot(x)
-cot(x) + c
cot(x) + c
21
anti-derivative of csc(x)cot(x)
-csc(x)
csc(x)
csc(x) + c
-csc(x) + c
22
derivative of sin(3x²-e^x)
-cos(3x2-ex)(6x+ex)
sin(3x2-ex)cos(3x2-ex)(6x+ex)
cos(3x2-ex)(6x+ex)
-cos(3x2-ex)
23
derivative of cos(x)
sin(x)
1/sin(x)
-sin(x)
1/cos(x)
24
anti-derivative of e^x-cos(x)
1-sin(x)+c
-sin(x)+c
ex+sin(x)+c
ex-sin(x)+c
25
derivative of sin(x^1/3)
cos(x1/3)(1/3 x-2/3)
cos(1/3 x-2/3)
cos(x)(1/3 x4/3)
cos(x1/3)(1/3 x4/3)
26
derivative of sin(x)
-sin(x)
1/sin(x)
cos(x)
1/cos(x)
27
anti-derivative of sec(x)tan(x)
sec(x) + c
csc(x)tan(x) + c
-cot(x) + c
-sec(x) + c
28
anti-derivative of sec²(x)
sec(x)tan(x) + c
-tan(x) + c
tan(x) + c
-sec(x)tan(x) + c
29
derivative of x³sin²(x)
x3(2sin(x)cos(x) - 3x2sin2(x)
x3(2sin(x)cos(x) + 3x2
x3(2sin(x)cos(x) + sin2(x)
x3(2sin(x)cos(x) + 3x2sin2(x)
30
anti-derivative of 2^sin(πx)
2sin(πx)(cos(πx))πln2
2sin(πx)(cos(πx))π
2sin(πx)(cos(πx))ln2
2sin(πx)(cos(πx))
31
anti-derivative of sec²(x) + tan²(x)
4tan(x)sec2(x)
4tan(x)sec(x)
tan(x)sec2(x)
tan(x)sec(x)
32
anti-derivative of -cos(x)
-sin(x)
sin(x) + c
1/cos(x)
-sin(x) + c

Trig Derivatives and Anti-derivatives Flashcards | StudBud

Trig Derivatives and Anti-derivatives

32 termsStudBud Administration5 plays

#math #calc #calculus #trig #trigonometry #derivatives #antiderivatives #trigderivatives

Flashcards32 cardsFPractice quizPHost liveL

Questions 32

Answers

1
anti-derivative of sin(x)
-sin(x) + c
-cos(x) + c
1/2 cos2(x) + c
tan(x) + c
2
derivative of sec(x²-2x+3)
sec(x2-2x+3)tan(x2-2x+3)
sec(x)tan(x2-2x+3)(2x-2)
sec(x2-2x+3)tan(x2-2x+3)(2x-2)
-tan(x2-2x+3)(2x-2)
3
anti-derivative of -sin(x)
sin(x)
-cos(x)
cos(x) + c
-cos(x) + c
4
derivative of [cos(x)]^1/2
1/2[cos(x)]-1/2(-sin(x))
-1/2 sin-1/2(x)
1/2[cos(x)]-1/2(sin(x))
-sin(x)
5
derivative of -cos(x)
-sin(x)
cos(x)sin(x)
sin(x)
cos(x)
6
derivative of tan(x)
sec2(x)
1/2 tan2(x)
csc(x)cot(x)
sec(x)tan(x)
7
anti-derivatives of sin(sin(x))
cos(sin(x))(cos(x))
2sin(x)
sin(x)cos(x)
cos(sin(x))
8
derivative of sin(x) + cos(x)
cos(x) + sin(x)
sin(x) - cos(x)
cos(x) - sin(x)
1
9
anti-derivative of sin(tan(2x))
sec2(2x)
cos(tan(x))sec2(2x)
2cos(tan(x))sec2(2x)
(tan(x))sec2(2x)
10
find f(x) when f''(x) = sin(x)
-sin(x)+c+d
-sin(x)+cx+d
cos(x)+cx+d
sin(x)+cx+dx
11
anti-derivative of cos(x)
cos(x) + c
-cos(x) + c
-sin(x) + c
sin(x) + c
12
derivative of -cot(x)
sec2(x)
csc(x)
csc2(x)
-csc2(x)
13
find f(x) when f''(x) = 3sin(x)-1
-3sin(x)- 1/2x2+cx+d
-3sin(x)- 1/2x2+c
-3cos-x+c
-3sin(x)- 1/2x2+cx
14
anti-derivative of -sec(x)tan(x)
sec(x) + c
-sec(x) + c
tan(x) + c
-tan(x) + c
15
derivative of -sin(x)
cos(x)
1/sin(x)
-sin(x)
-cos(x)
16
derivative of -cos(x)
1/cos(x)
-sin(x)
sin(x)cos(x)
sin(x)
17
anti-derivative of 5/csc(x)
5cos(x)
-5cos(x)+c
5sin(x)
-5sin(x)
18
anti-derivative of sin(x) + cos(x)
cos(x) - sin(x) + c
-cos(x) - sin(x) + c
cos(x) + sin(x) + c
-cos(x) + sin(x) + c
19
derivative of -csc(x)
-sec(x)tan(x)
csc(x)cot(x) + c
csc(x)cot(x)
sec(x)tan(x) + c
20
anti-derivative of csc²(x)
-cot(x)
csc(x)cot(x)
-cot(x) + c
cot(x) + c
21
anti-derivative of csc(x)cot(x)
-csc(x)
csc(x)
csc(x) + c
-csc(x) + c
22
derivative of sin(3x²-e^x)
-cos(3x2-ex)(6x+ex)
sin(3x2-ex)cos(3x2-ex)(6x+ex)
cos(3x2-ex)(6x+ex)
-cos(3x2-ex)
23
derivative of cos(x)
sin(x)
1/sin(x)
-sin(x)
1/cos(x)
24
anti-derivative of e^x-cos(x)
1-sin(x)+c
-sin(x)+c
ex+sin(x)+c
ex-sin(x)+c
25
derivative of sin(x^1/3)
cos(x1/3)(1/3 x-2/3)
cos(1/3 x-2/3)
cos(x)(1/3 x4/3)
cos(x1/3)(1/3 x4/3)
26
derivative of sin(x)
-sin(x)
1/sin(x)
cos(x)
1/cos(x)
27
anti-derivative of sec(x)tan(x)
sec(x) + c
csc(x)tan(x) + c
-cot(x) + c
-sec(x) + c
28
anti-derivative of sec²(x)
sec(x)tan(x) + c
-tan(x) + c
tan(x) + c
-sec(x)tan(x) + c
29
derivative of x³sin²(x)
x3(2sin(x)cos(x) - 3x2sin2(x)
x3(2sin(x)cos(x) + 3x2
x3(2sin(x)cos(x) + sin2(x)
x3(2sin(x)cos(x) + 3x2sin2(x)
30
anti-derivative of 2^sin(πx)
2sin(πx)(cos(πx))πln2
2sin(πx)(cos(πx))π
2sin(πx)(cos(πx))ln2
2sin(πx)(cos(πx))
31
anti-derivative of sec²(x) + tan²(x)
4tan(x)sec2(x)
4tan(x)sec(x)
tan(x)sec2(x)
tan(x)sec(x)
32
anti-derivative of -cos(x)
-sin(x)
sin(x) + c
1/cos(x)
-sin(x) + c