Limits, Continu...

Let f be differentiable for all x. If f(1) = –2 and f \' (x) ≥ 2 for x ϵ [1,6], then

f(x) = ||x| – 1| is not differentiable at

Let f be continuous on [1,5] and differentiable in (1,5).If f(1) = –3 and f\'(x) ≥ 9 for all x ∈(1,5) , then

Let f(x + y) = f(x) + f(y) and f(x) = x²g(x) for all x,y ∈ R, where g(x) is continuous function. Then f \' (x) is equal to

The function f(x) = (x² – 1) |x² – 3x + 2| + cos (|x|) is not differentiable at

The number of points at which the function f(x) = |x – 0.5| + |x – 1| + tan x does not have a derivative in the interval (0,2), is

If f(x) is a function such that f\" (x) + f(x) = 0 and g(x) = [f(x)]² + [f\' (x)]² and g(3) = 3, then g(8) =