Derivatives of inverse trigonometric functions

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9 Terms

1
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sin^-1

1/sqrt(1-x²)

2
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cos^-1

-1/sqrt(1-x²)

3
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tan^-1

1/(1-x²)

4
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cot^-1

-1/(1-x²)

5
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sec^-1

1/(|x|sqrt(x²-1)

6
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csc^-1

-1/(|x|sqrt(x²-1)

7
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g’(x)=

1/(f’(g’(x))

8
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d/dx(x^1/n)=

1/n x^(1/n - 1)

9
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d/dx(x^m/n)=

(m/n) x^(m/n - 1)