If `y=x^(logx)^(("log"(logdotx))),t h e n(dy)/(dx)i s` `y/x(1n x^(oox-1))+21 nx1n(1nx))` `y/x(logx)^("log"(logx))(2log(logx)+1)` `y/(x1nx)[(1nx)^2+21 n(1nx)]` `y/x(logy)/(logx)[2log(logx)+1]`

If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a) y/x(1n x^(oox-1))+21 nx1n(1nx)) (b) y/x(logx)^("log"(logx))(2log(logx)+1) (c) y/(x1nx)[(1nx)^2+21 n(1nx)] (d) y/x(logy)/(logx)[2log(logx)+1]

int(1)/(x(logx)log(logx))dx=

(dy)/(dx)+(y)/(xlogx)=(sin2x)/(logx)

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

Solve x((dy)/(dx))=y(logy-logx+1)

x(dy)/(dx)+2y-x^(2)logx=0

If y = (e^(x) + logx + 1)^(50) find (dy)/(dx) .

find dy/dx if y = (logx)^(sin^(-1)x

Solve: 4^((log_2logx))=logx-(logx)^2+1 (base is e)