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

Find the left and right hand derivative of the following function at given point: f(x)=e^(-|x|)a t\ x=0

Find the left and right hand derivative of the following function at given point: f(x)=ln^2x a t\ x=1

Find the derivative of the following function at the indicated point: x"\ "a t"\ "x=1

Find the derivatives of the following (1-3) functions : f(x) = x+a

Find the derivatives of the following function : f (x) =x+a.

Evaluate the left-hand and right-hand limits of the following function at x = 1 : f(x)={{:(5x-4",", "if "0 lt x le 1), (4x^(2)-3x",", "if "1 lt x lt 2.):} Does lim_(x to 1)f(x) exist ?

The right hand derivative of the function y = f(x) at x = a is Rf' (a) =

Evaluate the left-hand and right-hand limits of the a following function at x =1 : f(x)={{:(5x-4",", "if "0 lt x le 1), (4x^(2)-3x",", "if "1 lt x lt 2.):} Does lim_(x to 1)f(x) exist ?

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