Let `f:(0,oo)- gtR` be a differentiable function such that `f'(x)=2-f(x)/x` for all `x in (0,oo...

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let f be a differentiable function satisfying f(x/y)=f(x)-f(y) for all x , y greater then 0 ...

JEE MAINS 2018 Let `f:(0,oo)- gtR` be a differentiable function such that `f'(x)=2-f(x)/x` for a...

Let f: R→ R be a twice differentiable function such that f(x+y) = f(x) f(y) for all x,yϵR. If f’(0)

Let f : (0,∞) → R be twice differentiable function.If some a ≠0,If integral 0 to 1 f(λx) dλ = af(x),

Let for a differentiable function f: (0,∞) → R, f(x) – f(y) ≥ 〖log〗_e (x/y)+x-y, ∀x,y∈(0,∞).

Let f:[0,∞)→R be differentiable function such that f(x) = 1-2x+∫₀ˣ e^x-t f(t) dt for all x∈[0,∞).

Let f:[0,∞)→R be differentiable function such that f(x)=1-2x+∫0^x e^(x-t) f(t)dt for all x∈[0,∞).

Let f be a differentiable function in (0,infinite)such that f(1)=1,lim t-x t2 f(x) -x2f(t)/(t-x)=1