Let \(f\) be a differentiable function such that \(f(1)=2\) and f'(x)=f(x) for all \(x \in ....

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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 ...

C5_Let f be a differentiable function such that f(1)=2 and f’(x)=f(x) for all x belongs to real no.

Let f : R → R be a twice differentiable function such that f(2) =1 . If F(x) = xf(x) ∀x∈R,

Let f:R→R be a twice differentiable function such that f(2)=1. If F(x)=xf(x) for all x∈R, ∫02 xF'(x)

Let f : S → S where S = (0, ∞) be a twice differentiable function such that f(x+1) = x f(x). If

Let f(x) be a real differentiable function such that f(0) = 1 andf(x + y) = f(x) f′(y) + f′(x) f(y).

Continuity and Differentiability EXPLAINED with Examples

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