If `f(x)={x^3,x^2<1 and x,x^2>=1` then `f(x)` is differentiable at

If f(x)={x^3,if x^2 =1 then f(x) is differentiable at (a) (-oo,oo)-{1} (b) (-oo,oo)-{1,-1} (c) (-oo,oo)-{1,-1,0} (d) (-oo,oo)-{-1}

f(x)=(x)/(1+|x|) then f is differentiable at

If f(x)={'x^2(sgn[x])+{x},0 Option 1. f(x) is differentiable at x = 1 Option 2. f(x) is continuous but non-differentiable at x = 1 Option 3. f(x) is non-differentiable at x = 2 Option 4. f(x) is discontinuous at x = 2

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

Given f'(1)=1 and (d)/(dx)f(2x))=f'(x)AA x>0 If f'(x) is differentiable then there exists a numberd x in(2,4) such that f''(c) equals

Given f'(1)=1 and (d)/(dx)(f(2x))=f'(x)AA x>0. If f'(x) is differentiable then there exies a number c in(2,4) such that f''(c) equals

Given f' (1) = 1 and d/(dx)f(2x)=f'(x) AA x > 0 . If f' (x) is differentiable then there exists a number c in (2,4) such that f'' (c) equals

If f(x)=x^5-3x^3+2x^2+1 . Find the differentiation of f(x) w.r.t.x.