If `f(x)={-x;x <0 x^2 ;0 <= x <= 1 x^2-x+1;x > 1` Prove that `f(x)` is not differentiable at `x = 0.`

Prove that f(x)=|x+1| is not differentiable at x=-1

If f(x)={xe^-[1/(|x|)+1/x]; x != 0; 0;x=0 Prove that f(x) is not differentiable at x = 0

If f(x)={xe^(-[(1)/(|x|)+(1)/(x)]);x!=0;0;x=0 Prove that f(x) is not differentiable at x=0

If f(x)={x^(2), when x>=1x, when x<1 prove that f(x), is not differentiable at x=1.

Prove that f(x) = |x| is continous but not differentiable at x = 0

Prove that the function f(x)=|x| is not differentiable there at 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.

Prove that f(x) = x^(3)+3 if x!=0 and 1 if x=0 is not differentiable at x = 0.

Prove that the function f given by f(x) = |x-1|, x in R, x=1 is not differentiable at x = 1.

If a function f(x) is defined as f(x) = {{:(-x",",x lt 0),(x^(2)",",0 le x le 1),(x^(2)-x + 1",",x gt 1):} then a. f(x) is differentiable at x = 0 and x = 1 b. f(x) is differentiable at x = 0 but not at x = 1 c. f(x) is not differentiable at x = 1 but not at x = 0 d. f(x) is not differentiable at x = 0 and x = 1