`sin y = x sin (a+y)` Differentiating w.r. to x,

y=sqrt [[sin x + sqrt{{sin x + sqrt ((sin x +1…)}}] or y = sqrt(sin x +y) or y^2 = sin x + y Differentiating w.r. to x.

xy+y^2=tan x + y differentiating w.r. to x,

Differentiate : sin2x w.r.t x^2

(x/a)^n+(y/b)^n=1 Differentiating w.r. to x,

y=sin^-1x rArr sin y = x Differentiate w.r. to x

Differentiate : x^4 w.r.t. x^2 .

y= sec^-1 x rArr sec y = x Differentiate w.r. to x,

y = cos^-1 x rArr cos y=x Differentiate w.r. to x,

y= tan^-1x rArr tan y = x Differentiate w.r. to x

y=cosec^-1 rArr cosec y = x Differentiate w.r. to x