(d[x+sqrt(1+x^(2))-cos^(-1)(-sqrt(1+x^(2))))/(dx)

int (x)/(sqrt(1- x^(2)) cos^(2) sqrt(1 - x^(2))) dx =

int(x+cos^(-1)x)/(sqrt(1-x^(2)))dx

int(x)/(sqrt(1-x^(2))*cos^(2)sqrt(1-x^(2)))dx=

(d)/(dx)[cos^(-1)sqrt((1+x^(2))/(2))=

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these

d/(dx){sec^(-1)""(1)/(sqrt(1-x^2))+cot^(-1)""(sqrt(1-x^2))/x} =

Differentiate each of the following functions with respect to x:( i) sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))