Let `f : R rarr R` satisfying `|f(x)|le x^(2), AA x in R`, then show that f(x) is differentiable at x = 0.

Let |f (x)| le sin ^(2) x, AA x in R, then

If y= f (x) is differentiable AA x in R, then

Let f: R rarr R be a function satisfying 3f(x)+2f(-x)=x^2-x AA x in R then f(x) is

Let f: R rarr R be a function satisfying 3f(x)+2f(-x)=x^(2)-x AA x in R ,then f(x) is

Let f : R rarr R satisfying l f (x) l <= x^2 for x in R, then (A) f' is continuous but non-differentiable at x = 0 (B) f' is discontinuous at x = 0 (C) f' is differentiable at x = 0 (D) None of these

Let f:R rarr R satisfying |f(x)|<=x^(2),AA x in R be differentiable at x=0. Then find f'(0)

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is

Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in R. If f (x) is differentiable at x = 0, then