inverse trigonometric functions & logarithmic and natural log and their derivatives

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Last updated 1:48 AM on 4/8/26
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7 Terms

1
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(d/dx)sin^-1(x)

1/sqrt(1-x²)

2
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(d/dx)cos^-1(x)

-1/sqrt(1-x²)

3
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(d/dx)tan^-1(x)

1/(1+x²)

4
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(d/dx)(ln(x)) or (d/dx)(ln|x|)

1/x

5
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(d/dx)(log_a(x))

1/(xln(a))

6
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Product rule fg=

f’g+fg’

7
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Chain rule y=f(g(x))=

f’(g(x))*g’(x)