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Derivatives of Trig Functions Flashcards | StudBud

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Derivatives of Trig Functions

15 terms·StudBud Administration·1,579 plays

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

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Questions 15

Answers

1
y = sin(x²), y' = ?
2xcos(x2)
2xcos(x)
cos(x2)
2cos(x2)
2
y = cscx, y' = ?
cotx
cscxcotx
-cscxcotx
cot2x
3
y = cos^-1x, y' = ?
1/√1+x2
-1/√1-x2
-1/√1+x2
1/√1-x2
4
y = sinx, y' = ?
-sinx
cosx
-cosx
cos2x
5
y = tanx, y' = ?
secx
sec2x
-sec2x
csc2x
6
y = secx, y' = ?
tanx
tan2x
-secxtanx
secxtanx
7
y = sec^-1x, y' = ?
-1/(|x|√x2-1)
1/(|x|√x2-1)
1/(|x|√x2+1)
-1/(|x|√x2+1)
8
y = cosx, y' = ?
sin2x
-sinx
sinx
-cosx
9
y = cotx, y' = ?
csc2x
cscx
-cscx
-csc2x
10
y = tan^-1x, y' = ?
1/√1+x2
1/√1-x2
1/(1+x2)
1/(1-x2)
11
y = cos(2x), y' = ?
-sin(2x)
-2sinx
-sin(2x)/2
-2sin(2x)
12
y = cot^-1x, y' = ?
-1/(1-x2)
1/(1+x2)
-1/(1+x2)
1/(1-x2)
13
y = sin(x/2), y' = ?
cos(x/2)
cos(x/2)/2
2cos(x/2)
cosx/2
14
y = sin^-1x, y' = ?
1/(1+x2)
1/(1-x2)
1/√1-x2
1/√1+x2
15
y = csc^-1x, y' = ?
1/(|x|√x2+1)
-1/(|x|√x2-1)
1/(|x|√x2-1)
-1/(|x|√x2+1)