`(logx)^(cosx)`

If y=(logx)^((logx)^((logx)^(....oo))) prove that, xlogx(dy)/(dx)=(y^(2))/(1-y log(logx))

Differentiate the following w.r.t. x : (logx)^(x)+(x)^(cosx)

Differentiate the following w.r.t. x: (logx)^x + (x)^(cosx)

d/(dx)[(cosx)^(logx)+(logx)^(x)] =

"If "y=(x)^(cosx)+(sinx)^(tanx)", prove that "(dy)/(dx)=x^(cosx){(cosx)/(x)-(sinx)logx}+(sinx)^(tanx).{1+(log sinx)sec^(2)x}.

Differentiate the following w.r.t. x: log((a^(cosx))/((x^2-3)^3logx))

If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

Evaluate : int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx .

int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx

int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx))dx=