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

y = e^(x) sin x find dy/dx

If x^y=y^x ,"then find"(dy)/(dx)dot

If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e nfin d(dy)/(dx)dot

Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)

If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a) x/(2y-1) (b) x/(2y+1) (c) 1/(x(2y-1)) (d) 1/(x(1-2y))

If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),s howt h a t(x^2+1)(dy)/(dx)+x y+1=0

If y=sqrt(sinx+y),then (dy)/(dx)dot

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

If y=btan^(-1)(x/a+tan^(-1)y/x) ,find (dy)/(dx)dot

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