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6 Terms

1
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d/dx arcsinx

x’/sqrt(1-x2)

2
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d/dx arctanx

x’/(1+x2)

3
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d/dx arccosx

-x’/(1+x2)

4
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d/dx lnu

u’/u

5
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d/dx au

lna*au*u’

6
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d/dx(logau)

1/(lna)u * u'