" (i) "cos^(-1)(x)/(x+1)

If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)) , then (dy)/(dx) is equal to -

Differentiate the following w.r.t. x : cos^(-1)(x/(x+1))

Find the value of sin^(-1)x+sin^(-1)(1)/(x)+cos^(-1)x+cos^(-1)(1)/(x)

If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

For which values of x, function f(x) = sin^(-1) x + sin^(-1).(1)/(x) + cos^(-1) x + cos^(-1).(1)/(x) is defined? Also, find the range

For which values of x, function f(x) = sin^(-1) x + sin^(-1).(1)/(x) + cos^(-1) x + cos^(-1).(1)/(x) is defined? Also, find the range

Evaluate : int(x cos^(-1)x)/(1-x^(2))dx

Differentiate the following w.r.t. x : cos^-1(x/(x+1))

" (2) "sin^(-1)x+sin^(-1)(1/x)+cos^(-1)x+cos^(-1)(1/x)" is equal to "

int (sin^(-1) x -cos^(-1)x)/(sin^(-1) x + cos^(-1)x) dx =