y' = d/dx $arcsin(10x)$ = 1 / sqrt$1-(10x{)}^2$ * 10
y' = 10 / sqrt$1-100x^2$

y' = d/dx $arccos\surd 3x$ = -1 / sqrt$1-(\surd 3x{)}^2$ * √3
y' = -√3 / sqrt$1-3x^2$

y' = d/dx $(arctg(2x){)}^{1}0x$ = 10 $arctg(2x)$^9 d/dx $arctg(2x)$ y' = 10 $arctg(2x)$^9 $1/(1+(2x{)}^2)$ 2
y' = 20 $arctg(2x)$^9 / $1+4x^2$

y' = d/dx $sin(2x+1)arctg(-x)$ y' = cos$2x+1$2 arctg$-x$ + sin$2x+1$ $-1/(1+(-x{)}^2)$ y' = 2cos$2x+1$ arctg$-x$ - sin$2x+1$ / $1+x^2$

y' = d/dx $arccos(2x)/(3-x^2)$ y' = $(-1/sqrt(1-(2x{)}^2))<em>2/(3-x^2)-arccos(2x)</em>(-2x)/(3-x^2{)}^2$ / $3-x^2$ y' = $-2/sqrt(1-4x^2)-2xarccos(2x)/(3-x^2{)}^2$ / $3-x^2$