Derivatives of trig and inverse trig functions

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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)

sec²(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)

-csc²(x)

7
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d/dx arcsin(x)

1/sqrt(1 - x²)

8
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d/dx arccos(x)

-1/sqrt(1 - x²)

9
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d/dx arctan(x)

1/(1 + x²)

10
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d/dx arccsc(x)

-1/(|x| * sqrt(x² - 1))

11
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d/dx arcsec(x)

1/(|x| * sqrt(x² - 1))

12
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d/dx arccot(x)

-1/(1 + x²)