derivatives of trig and inverse trig functions

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Last updated 2:29 AM on 6/10/26
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11 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)

sec²x

4
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d/dx (csc x)

-csc x * cot x

5
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d/dx (arcsin x)

1/(sqrt(1 - x²) )

6
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d/dx (arccos x)

-1/(sqrt(1-x²))

7
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d/dx (arctan x)

1/(1+x²)

8
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d/dx (arc sec x)

1/(|x|*sqrt(x²-1))

9
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d/dx (arc cot x)

-1/(1+x²)

10
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d/dx (arc csc x)

-1/(|x|*sqrt(x²-1))

11
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d/dx (sec x)

sec x * tan x