If `phi(x)=2cos^(-1)((2)/(sqrt(x)))+sin^(-1)((4sqrt(x-4))/(x)), then phi'(9)` is equal to

If phi(x) = int_(1//x)^(sqrtx) sin(t^2) dt, then phi'(1) is equal to

If f(x)=sin^(-1)(sinx)+cos^(-1)(sinx) and phi(x)=f(f(f(x))) , then phi'(x) is equal to

If phi (x) =int_(1//x)^(sqrt(x)) sin(t^(2))dt then phi ' (1)is equal to

Let P=(("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) and X=(((1)/(sqrt(2))),((1)/(sqrt(2)))) . Then P^(3)X is equal to

The number of real solution of cot^(-1)sqrt(x(x+4))+cos^(-1)sqrt(x^(2)+4x+1)=(pi)/(2) is equal to

The number of real solution of cot^(-1)sqrt(x(x+4))+cos^(-1)sqrt(x^(2)+4x+1)=(pi)/(2) is equal to

If f(x)=cos^(-1)((1)/(sqrt(13)))(2cos x-3sin x)+sin^(-1)((1)/(sqrt(13)))(2cos x+3sin x)wdot rt sqrt(1+x^(2)) then find (df(x))/(dx) at x=(3)/(4)

The derivative of the function f(x)=cos^(-1)((1)/(sqrt(13))(2cos x-3sin x))+sin^(-1)((1)/(sqrt(13))(2cos x+3sin x)), with respect to sqrt(1+x^(2)) at x=(3)/(4) is

phi(x)=int_(1/x)^( sqrt(x))sin(t^(2))dt, then find the value of phi'(1)