If `y="sec"(tan^(-1)x),` then `(dy)/(dx)` at `x=1` is equal to: `1/(sqrt(2))` (b) `1/2` (c) 1 (d) `sqrt(2)`

If y="sec"(cos^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) -1 (d) sqrt(2)

If y="cosec"(cot^(-1)x), then (dy)/(dx) at x=1 is equal to: 1/(sqrt(2)) (b) 1/2 (c) 1 (d) 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=tan ^(-1) (sqrt( 1+x^(2)) +x ),then (dy)/(dx) =

If y=tan ^(-1) (sqrt( 1+x^(2))-x),then ( dy)/(dx)=

If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx) .

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)), then (dy)/(dx) is (-1)/(2|x|sqrt(x^(2)-1)) (b) (-1)/(2x sqrt(x^(2)-1))(1)/(2x sqrt(x^(2)-1))( d) none of these