Derivatives of Trig Functions

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Last updated 8:30 PM on 4/27/26
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12 Terms

1
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d/dx sin(x)

cos(x)

2
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d/dx cos(x)

-sin(x)

3
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d/dx tan(x)

sec^2(x)

4
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d/dx csc(x)

-csc(x)cot(x)

5
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d/dx sec(x)

sec(x)tan(x)

6
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d/dx cot(x)

-csc^2(x)

7
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d/dx arcsin(x)

1/sqrt(1-x^2)

8
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d/dx arccos(x)

-1/sqrt(1-x^2)

9
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d/dx arctan(x)

1/(1+x^2)

10
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d/dx arccsc(x)

-1/|x|sqrt(x^2 -1)

11
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d/dx arcsec(x)

1/|x|sqrt(x^2 -1)

12
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d/dx arccot(x)

-1/(1+x^2)