Let a differentiable function ' f ' satisfies the functional rule f(x y)=f(x)+f(y)+x y-x-y ∀ x, y...

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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 ...

Let a differentiable function ' f ' satisfies the functional rule f(x y)=f(x)+f(y)+x y-x-y ∀ x, y...

Let a differentiable function ' f ' satisfies the functional rule f(x y)=f(x)+f(y)+x y-x-y ∀...

Let f be a differentiable function satisfying the functional rule f(x y)=f(x)+f(y)+ x+y-1/x y∀ x,...

Solving f(x^y)=yf(x) | A Functional Equation

Let for a differentiable function f:(0,♾️)R, f(x)-f(y) log(x/y)+x-y. Then Summation of f’(1/n^2)=?

Solving the Functional Equation f(x - y) = f(x) - f(y)

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