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

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

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

If f(x) be such that f(x) = max (|3 - x|, 3 - x^(3)) , then (a) f(x) is continuous AA x in R (b) f(x) is differentiable AA x in R (c) f(x) is non-differentiable at three points only (d) f(x) is non-differentiable at four points only

If f (x) +2 f (1-x) =x ^(2) +2 AA x in R and f (x) is a differentiable function, then the value of f'(8) is

If f (x) +2 f (1-x)( =x ^(2) +2AA x in R and f (x) is a differentiable function, then the vlaue of f'(8) is

Let y=f(x) be a differentiable function AA x in R and satisfies: f(x)=x+int_(0)^(1)x^(2)zf(z)dz+int_(0)^(1)xz^(2)f(z)dz.

Let y = f(x) be a differentiable function, AA x in R and satisfies, f(x) = x+ int_(0)^(1)x^(2)z f(z) dz + int_(0)^(1)x z^(2) f(z) dz , then