Derivatives of Inverse Trigonometric and Logarithmic Functions

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Flashcards covering the derivatives of inverse trigonometric and logarithmic functions.

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8 Terms

1
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arcsin(x)

Derivative is 1 / sqrt(1 - x^2)

2
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arccos(x)

Derivative is -1 / sqrt(1 - x^2)

3
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arctan(x)

Derivative is 1 / (1 + x^2)

4
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arccot(x)

Derivative is -1 / (1 + x^2)

5
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arcsec(x)

Derivative is 1 / (|x| * sqrt(x^2 - 1))

6
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arccsc(x)

Derivative is -1 / (|x| * sqrt(x^2 - 1))

7
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ln(x)

Derivative is 1 / x

8
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log_a(x)

Derivative is 1 / (x * ln(a)), where a > 0 and a != 1