(1)y'=-1/cos^2(1-x)
(2)y'=(sec^2)x'=2 (sec x)*(sin x)
(3)y'=lg(1-1/x)'=lg((1-1/x)/e)
(4)y'=(arcsin (x/2))^2 '=arcsin (x/2)*(1/√1-(x/2)^2 )
(5) y'=a^x arcsin√x '=1/2*a^x *(1/√x)*(1/√1-x)+a^xlna*arcsin√x
(1)y'=-1/cos^2(1-x)
(2)y'=(sec^2)x'=2 (sec x)*(sin x)
(3)y'=lg(1-1/x)'=lg((1-1/x)/e)
(4)y'=(arcsin (x/2))^2 '=arcsin (x/2)*(1/√1-(x/2)^2 )
(5) y'=a^x arcsin√x '=1/2*a^x *(1/√x)*(1/√1-x)+a^xlna*arcsin√x