Test differentiability of the following function at the indicated points.
f(x)=x+|cosx|at x= `pi/2`

Test differentiability of the following function at the indicated points. f(x)=[x^2+1]at x=-1/2

Test differentiability of the following function at the indicated points. f(x)={(1-2x,xle1/2),(x-1/2,x>1/2) :} at x=1/2

Examine the continuity of the following functions at indicated points. f(x)=[3x+11]atx=-11/3

Find the derivative of the following functions from definition at the indicated points. tan x at x= pi/3

Test differentiability and continuity of the following functions. f(x) = |sinx| at x = pi

Examine the continuity of the following functions at indicated points. f(x)={((sin2x)/x if xne0 at x=0),(2 if x=0):}

Examine the contiunity of the following functions at the indicated points . f(x) = {[2x+1 ,if xle0],[x, if 0 < x < 1],[2x-1,if xge1]:} at x=0,1.

Find the derivative of the following functions from definition at the indicated points. x^4 at x=2

Find the derivative of the following functions from definition at the indicated points. ln x at x=2

Test differentiability and continuity of the following functions. f(x) = cot x at x = pi/2