Calc Exam 2 derivatives for trigonometric and hyperbolic trigonometric functions (and their inverses)

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Last updated 3:58 PM on 3/31/26
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24 Terms

1
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Sin(x)

Cos(x)

2
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Cos(x)

-sin(x)

3
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Tan(x)

Sec²(x)

4
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Cot(x)

-csc²(x)

5
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Sec(x)

Sec(x) * tan(x)

6
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Csc(x)

-csc(x) * cot(x)

7
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Sinh(x)

Cosh(x)

8
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Cosh(x)

Sinh(x)

9
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Tanh(x)

Sec²h(x)

10
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Coth(x)

-csch²(x)

11
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Sech(x)

-sech(x) * tanh(x)

12
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Csch(x)

-csch(x) * coth(x)

13
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Sin^-1(x)

1/sqar(1-x²)

14
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Cos^-1(x)

-1/sqar(1-x²)

15
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Tan^-1(x)

1/(1+x²)

16
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Cot^-1(x)

-1/(1+x²)

17
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Sec^-1(x)

1/|x|sqar(x²-1)

18
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Csc^-1(x)

-1/|x|sqar(x²-1)

19
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Sinh^-1(x)

1/sqar(1+x²)

20
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Cosh^-1(x)

1/sqar(x²-1)

21
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Tanh^-1(x)

1/(1-x²)

22
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Coth^-1(x)

1/(1-x²)

23
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Sech^-1(x)

-1/(x)sqar(1-x²)

24
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Csch^-1(x)

-1/|x|sqar(x²+1)