`cos^(- 1){x/(sqrt(x^2+a^2)))`

Differentiate the following function with respect to x:cos^(-1){(x+sqrt(1-x^(2)))/(sqrt(2))};-1

Prove that cos^(-1)(x)+ cos^(-1){(x)/(2)+sqrt(3-3x^(2))/(2)}=(pi)/(3) .

Differentiate cos^(-1){2x sqrt(1-x^(2))},(1)/(sqrt(2))

Differentiate the following function with respect to x:cos^(-1){2x sqrt(1-x^(2))},(1)/(sqrt(2))

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

lim _(x to ((1)/(sqrt2))^(+))(cos ^(-1) (2x sqrt(1- x ^(2))))/((x-(1)/(sqrt2)))- lim _(x to ((1)/(sqrt2))^(-))(cos ^(-1) (2x sqrt(1-x ^(2))))/((x- (1)/(sqrt2)))=

Prove that cos[tan^(-1){sin(cos^(-1)x)}]=(1)/(sqrt(2-x^(2)))

If 1/(sqrt(2))

The number of solutions for the equation 2 sin^(-1)(sqrt(x^(2) - x + 1)) + cos^(-1)(sqrt(x^(2) - x) )= (3pi)/(2) is

If y = cos^(-1) [(x+sqrt(1-x^(2)))/(sqrt(2))] then (dy)/(dx) =