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sin -1 x =
\frac{1}{\sqrt{1-x^2}}
cos -1 x =
-\frac{1}{\sqrt{1-x^2}}
csc -1 x =
-\frac{1}{\left|x\right|\sqrt{x^2}-1}
sec -1 x =
\frac{1}{\left|x\right|\sqrt{x^2}-1}
tan -1 x =
\frac{1}{x^2+1}
cot -1 x =
-\frac{1}{x^2+1}
loga x =
\frac{1}{x\ln a}
ln x
\frac{1}{x}
ax
a^{x}\ln a