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Derivatives of Trig Functions Flashcards | StudBud
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Derivatives of Trig Functions
Derivatives of Trig Functions
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Answers
1
y
'
tan
-1
x=
1/(1-x2)
1/(1+x2)
1/√1+x2
1/√1-x2
2
y' cos(2x)=
-2sinx
-sin(2x)
-2sin(2x)
-sin(2x)/2
3
y' sin(x/2)=
cos(x/2)/2
cos(x/2)
2cos(x/2)
cosx/2
4
y = cos
-1
x, y' = ?
1/√1+x2
1/√1-x2
-1/√1+x2
-1/√1-x2
5
y' sin
-1
x=
1/√1-x2
1/√1+x2
1/(1-x2)
1/(1+x2)
6
y' sec
-1
x=
1/(|x|√x2-1)
1/(|x|√x2+1)
-1/(|x|√x2-1)
-1/(|x|√x2+1)
7
y' cotx=
csc2x
cscx
-csc2x
-cscx
8
y' sin(x
2
)=
2xcos(x)
2xcos(x2)
2cos(x2)
cos(x2)
9
y' cot
-1
x=
-1/(1+x2)
1/(1-x2)
-1/(1-x2)
1/(1+x2)
10
y' csc
-1
x=
1/(|x|√x2-1)
-1/(|x|√x2+1)
1/(|x|√x2+1)
-1/(|x|√x2-1)