Value of `f(2, 3)` if f(x + y, x - y) = xy, is _________.

Find f(x, y) if f(x + 2y, 2x + y) = 2xy.

Find the least and greatest value of f(x,y) = x^(2) + y ^(2) - xy where x and y are connected by the relation x^(2)+4y^(2) = 4 .

Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R and f(0)!=0 Then g(x)=f(x)/(1+[f(x)]^2) is

Let 'f' be a fifferentiable real valued function satisfying f (x+2y) =f (x) +f (2y) + 6xy (x+2y) AA x, y in R. Then f ' (0), f" (1), f'(2)….. are in

A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y), AA x, y in R . If f'(0) = - 1, then

LEt F: R->R is a differntiable function f(x+2y) =f(x) + f(2y) +4xy for all x,y in R

The function f and g are defined as f(x , y) = 2x + y and g(x,y) = x + 2y . What is the value of f(3,4) ?

For real numbers x and y, let M be the maximum value of expression x^4y + x^3y + x^2 y + x y + xy^2 + xy^3 + xy^4 , subject to x + y = 3 . Find [M] where [.] = G.I.F.

If f(2x+3y, 2x-7y)=20x, then f(x,y) equals :

Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + ff(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is