If `y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1` is (a)`cospi/4` (b) `sinpi/2` (c)`sinpi/6` (d) `cospi/3`

If x y+y^2=tanx+y ,t h e n(dy)/(dx)dot

If y = e^(tan^(-1) x) . find dy/dx

If y = (tan x-1)/(sec x) then dy/dx=?

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"(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=tan^(-1)((2^x)/(1+2^(2x+1))),t h e n(dy)/(dx)a tx=0 is (a)1 (b) 2 (c) 1n 2 (d) none of these

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If y=cos^(-1)(cosx),t h e n(dy)/(dx) at x= (5pi)/4 is equal to (a)1 (b)-1 (c)0 (d)4

If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a) (sinx)^(tanx)(1+sec^2xlogsinx) (b) tanx(sinx)^(tanx-1)cosx (c) (sinx)^(tanx) (d) sec^2xlogsinx tanx(sinx)^(tanx-1)