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d/dx of arcsin(x)
1/sqrt(1-x^2)
1-x^2, not 1+x^2
d/dx of arccos(x)
-1/sqrt(1-x^2)
negative of sin
d/dx of arctan(x)
1/(1+x^2)
1+x^2, not -x^2
d/dx of arccot(x)
-1/(1+x^2)
negative of cos
d/dx of arcsec(x)
1/(|x|sqrt(1-x^2))
Secant follows sine, not cosine
d/dx of arccsc(x)
-1/(|x|sqrt(1-x^2))
Cosecant follows cosine, not sine
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