If $<1$ then $\frac{1-2x}{1-x{x}^2}+\frac{2x-4x^3}{1-x^2+x^4}+\frac{4x^3-8x^7}{10x^4+x^8}+\dots \infty =$

If (cos x ) ^(y) = (sin y) ^(x) then (dy)/(dx)=

If y = sqrt(x + sqrt(x + sqrt(x + .....oo)))then (dy)/(dx) =

If y = sqrt(tan x + sqrt(tan x + sqrt(tan + ....oo))) then (dy)/(dx)=

If y = sqrt(sin x + sqrt(sin x + sqrt(sin x + ....oo))) then (dy)/(dx)

If y = x ^(x ^(x.......prop)) then (dy)/(dx)=

If y = (sin x) ^((sin x) ^((sin x) ^(...oo))), then (dy)/(dx)=

If y = e ^(x + e ^(x + e^(x ...oo))), then (dy)/(dx)=

If x = e ^(y+ e ^(y +...10oo)), x gt 0, then (dy)/(dx) is

If y = x + (1)/(x + (1)/( x +...oo)) then (dy)/(dx) =

If y = sqrtx ^(sqrtx^(sqrtx^(...oo))), then (dy)/(dx) =

If y = a ^(x ^(a^(x ^(a ^(x ...oo))))) then (dy)/(dx)=

If y = x ^(2) + (1)/(x ^(2) + (1)/( x ^(2) +...oo)), then (dy)/(dx) =

If x lt 1, then 1/(x + 1) + (2x)/(1 +x^2) + (4x^3)/(1 + x^4) + ….oo =

If f (x ) =x ^(2) + (x ^(2))/((1 + x ^(2))) + (x ^(2))/( (1 + x ^(2)))...

f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

If y = { sin "" (x)/(2) sin "" (x ^(2))/(2 ^(2)) . sin "" (x ^(3))/(2 ...

If cos ""x/2cos "" (x )/(2 ^(2)) ….cos "" (x)/(2 ^(n)) = (sin x)/( 2 ^...

If sintheta sin(2alpha+theta)sin(4alpha + theta)...sin(2(n-1)alpha+the...

If Y = "tan"^(-1)((1)/(1 + x + x^2)) + "tan"^(-1) (1/(x^2 + 3x + 3)) +...