The derivative of the function `cot^(-1){(cos2x)^(1//2)}` at `x=pi//6` is (a)`(2//3)^(1//2)` (b) `(1//3)^(1//2)` (c) `3^(1//2)` (d) `6^(1//2)`

The derivative of the function cot^(-1){(cos2x)^(1/2)} at x=pi/6 is (2/3)^(1/2) (b) (1/3)^(1/2)(c)3^(1/2)(d)6^(1/2)

The derivative of the function cot^(-1){(cos2"x")^(1/2)}a tx=pi/6 is (2/3)^(1/2) (b) (1/3)^(1/2) (c) 3^(1/2) (d) 6^(1/2)

The derivative of the function cot^(-1){(cos2x)^((1)/(2))} at x=(pi)/(6) is ((2)/(3))^((1)/(2))(b)((1)/(3))^((1)/(2))(c)3^((1)/(2))(d)6^((1)/(2))

If f(x)=cot^(-1)(cos2x)^(1//2) , then f'(pi//6) is :

The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x] with respect to x at x=1 is (a) 3//4 (b) 0 (c) 1//2 (d) -1//2

The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x] with respect to x at x=1 is (a) 3//4 (b) 0 (c) 1//2 (d) -1//2

The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x] with respect to x at x=1 is (a) 3//4 (b) 0 (c) 1//2 (d) -1//2

The first derivative of the function [cos^(-1)(sin sqrt((1+x)/(2)))+x^(x)] with respect to x at x=1 is (a) 3/4( b) 0(c)1/2(d)-1/2