Duplicate of Derivatives of Trig Functions

Practice derivatives of trig functions, including sin, cos, tan, csc, sec, cot, arccos, arcsin, arctan, arccot, arccsc, and arcsec. #calculus #derivatives

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Questions 13

Answers

1
y = csc^-1x, y' = ?
1/(|x|√x2-1)
1/(|x|√x2+1)
-1/(|x|√x2+1)
-1/(|x|√x2-1)
2
y = cos(2x), y' = ?
-sin(2x)
-2sin(2x)
-sin(2x)/2
-2sinx
3
y = sin(x²), y' = ?
cos(x2)
2xcos(x2)
2cos(x2)
2xcos(x)
4
y = sin(x/2), y' = ?
cos(x/2)
cos(x/2)/2
2cos(x/2)
cosx/2
5
y = cscx, y' = ?
cot2x
cotx
cscxcotx
-cscxcotx
6
y = tanx, y' = ?
-sec2x
secx
csc2x
sec2x
7
y = cotx, y' = ?
csc2x
-csc2x
cscx
-cscx
8
y = tan^-1x, y' = ?
1/(1+x2)
1/(1-x2)
1/√1-x2
1/√1+x2
9
y = secx, y' = ?
tanx
tan2x
secxtanx
-secxtanx
10
y = sin^-1x, y' = ?
1/√1+x2
1/(1-x2)
1/√1-x2
1/(1+x2)
11
y = cosx, y' = ?
-sinx
sin2x
-cosx
sinx
12
y = sinx, y' = ?
cos2x
-cosx
-sinx
cosx
13
y = cos^-1x, y' = ?
1/√1-x2
-1/√1-x2
-1/√1+x2
1/√1+x2

Duplicate of Derivatives of Trig Functions

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Practice derivatives of trig functions, including sin, cos, tan, csc, sec, cot, arccos, arcsin, arctan, arccot, arccsc, and arcsec. #calculus #derivatives

Flashcards13 cardsFPractice quizPHost liveL

Questions 13

Answers

1
y = csc^-1x, y' = ?
1/(|x|√x2-1)
1/(|x|√x2+1)
-1/(|x|√x2+1)
-1/(|x|√x2-1)
2
y = cos(2x), y' = ?
-sin(2x)
-2sin(2x)
-sin(2x)/2
-2sinx
3
y = sin(x²), y' = ?
cos(x2)
2xcos(x2)
2cos(x2)
2xcos(x)
4
y = sin(x/2), y' = ?
cos(x/2)
cos(x/2)/2
2cos(x/2)
cosx/2
5
y = cscx, y' = ?
cot2x
cotx
cscxcotx
-cscxcotx
6
y = tanx, y' = ?
-sec2x
secx
csc2x
sec2x
7
y = cotx, y' = ?
csc2x
-csc2x
cscx
-cscx
8
y = tan^-1x, y' = ?
1/(1+x2)
1/(1-x2)
1/√1-x2
1/√1+x2
9
y = secx, y' = ?
tanx
tan2x
secxtanx
-secxtanx
10
y = sin^-1x, y' = ?
1/√1+x2
1/(1-x2)
1/√1-x2
1/(1+x2)
11
y = cosx, y' = ?
-sinx
sin2x
-cosx
sinx
12
y = sinx, y' = ?
cos2x
-cosx
-sinx
cosx
13
y = cos^-1x, y' = ?
1/√1-x2
-1/√1-x2
-1/√1+x2
1/√1+x2