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Derivative of Standard Functions

if f (x+y, x-...

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if f (x+y, x-y)= xy then the value of f(x,y) is equal to ?

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f (x + 2 y, x - 2 y) = x y

f (x, y)

I

f (x, y) = \frac{1}{x^{2}} + \frac{1}{x y} + \frac{log x - log y}{x^{2} + y^{2}}

x \frac{\partial f}{\partial x} + y \frac{\partial f}{\partial y}

f (x + 2 y, x - 2 y) = x y

f (x, y)

f (x) + f (y) = f (\frac{x + y}{1 - x y}) \forall x, y \in R (x y \neq 1)

lim x \to 0 \frac{f (x)}{x} = 2,

then the value of

f^{'} (1)

x . \frac{d y}{d x} + y = x . \frac{f (x y)}{f^{'} (x y)}

f (x y)

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