f(x)={[(x)/(1+e^(1/x));x!=0],[0,x=0],[atx=0]

Discuss the differentiability of: f(x)={[x(e^x-1)/(e^x+1),x!=0],[0,x=0]:} at x=0

Examine continuity and differentiability f(x)={[(1-e^(-x))/x,x!=0],[1,x=0]:} at x=0.

If f(x)={(1)/(e^((1)/(x))+1),x!=0,0,x=0 then

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

If f(x)={(x)/(1+e^((1)/(x))) for x!=0,0f or x=0 then the function f(x) is differentiable for

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0, at x=0 ,f(x)=0 a. is continuous at x=0 b. is not continuous at x=0 c. is not continuous at x=0, but can be made continuous at x=0 (d) none of these

If f(x)={(x)/(e^((1)/(x))+1),x!=0 and 0,x=0

Check the continuity of the following functions: f(x){(1)/(1-e^((1)/(x))),x!=0 and 0,x=0

Prove that the function f(x)={x/(1+e^(1/x)); if x != 0 0; if x=0 is not differentiable at x = 0.

Discuss the continuity and differentiability of the function f(x)={(|x|(3e^((1)/(2e))+4))/(2-e^((1)/(|x|))),x!=0x=0atx=0