" Let "f(x)={[(2+x),," if "x>=0],[(2-x),," if "x<0]" Show that "f(x)" is not derivable at "x=0

Let f(x) = {{:(( 2+x)",",if , x ge0), (( 2-x)",", if , x lt 0):} show that f(x) not derivable at x =0

Let f(x)={[(x)/(2x^(2)+|x|) , If x!=0] , [1, If x=0] then

Let f(x)={{:(2^([x]),, x lt0),(2^([-x]),,x ge0):} , then the area bounded by y=f(x) and y=0 is

Let f(x)={x^(2)+k, when x>=0,-x^(2)-k, when x<0 } .If the function f(x) be continuous at x=0, then k=

Let f(x)=(2x+1)/(x),x!=0, where

Let f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):} . Discuss the continuity of f(x) at x = 0.

Let f(x) = {{:(min{x, x^(2)}, x >= 0),(max{2x, x^(2)-1}, x (A) f(x) is continuous at x=0 (B) f(x) is differentiable at x=1 (C) f(x) is not differentiable at exactly three point (D) f(x) is every where continuous

Let f(x) = {{:( 2 sin x ,, x gt 0) , ( x^(2) ,, x le 0):} . Investigate the function for maxima/minima at x = 0 .