Inverse Trig Derivatives

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8 Terms

1
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d/dx sin⁻¹(x)

1/√(1-x²)

2
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d/dx cos⁻¹(x)

-1/√(1-x²)

3
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d/dx tan⁻¹(x)

1/(1+x²)

4
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d/dx csc⁻¹(x)

-1/(|x| √(x²-1))

5
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d/dx sec⁻¹(x)

1/(|x| √(x²-1))

6
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d/dx cot⁻¹(x)

-1/(1+x²)

7
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d/dx log(x)

[1/x ln(a)](d/dx (x))

8
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d/dx a^x

(a^x)(ln(a))(d/dx x)