Find the derivative of the following functions `y=(1-lnx)/(1+lnx)`

Find the left and right hand derivative of the following function at given point: f(x)=|lnx|a t\ x=1

Using the L .Hospital rule find limits of the following functions : lim_(xto1) (a^(lnx)-x)/(lnx)

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = x-2lnx on [1,e]

What is the derivative of the function f(x)=e^(tanx)+ln(secx)-e^(lnx)" at "x=(pi)/(4)?

What is the derivative of the function f(x) = e^(tanx)+ln(secx)-e^(lnx)at x=(pi)/(4) ?

Using the L .Hospital rule find limits of the following functions : lim_(x to 1)(1/(ln x)-x/(lnx))

Evaluate the following int(ln(lnx))/(x lnx)dx,(xgt0)

y=e^(x)lnx

Find the following limits: lim_(xrarr1) (lnx)/(x^2-1)

Find the following limits: lim_(xrarr0)(tanx)^(1/lnx)