If `y""=""s e c(t a n^(-1)x)` , then `(dy)/(dx)` at `x=1` is equal to (1) `1/2` (2) 1 (3) `sqrt(2)` (4) `1/(sqrt(2))`

If y=sec(tan^(-1)x) ,then (dy)/(dx) at x=1 is equal to (1)(1)/(2)(2)1(3)sqrt(2)(4)(1)/(sqrt(2))

If y= sec (tan^(-1) (x)) , then dy/dx at x=1 is equal to ......... A) 44198 B) 1 C) 1/sqrt 2 D) sqrt 2

If y=sqrt(x)+1/(sqrt(x)) , then (dy)/(dx) \ at \ x=1 is a. 1 b. 1/2 c. 1/(sqrt(2)) d. 0

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these

(dy)/(dx)=(sqrt(x^(2)-1))/(sqrt(y^(2)-1))

If x= sin^(-1)(3t-4t^(3)) and y=cos^(-1)(sqrt(1-t^(2))) , then (dy)/(dx) is equal to

If x= sin^(-1)(3t-4t^(3)) and y=cos^(-1)(sqrt(1-t^(2))) , then (dy)/(dx) is equal to