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

If f(x+2y , x-2y)=x y , then f(x,y) equals

If f(x+y,x -y)= xy then (f(x,y)+f(y,x))/(2)=

Let f:R to R be a function satisfying f(x+y)=f(x)=lambdaxy+3x^(2)y^(2)"for all "x,y in R If f(3)=4 and f(5)=52, then f'(x) is equal to

If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to (a) 1/2{f(2x)+f(2y)} (b) 1/2{f(2x)-f(2y)} (c) 1/4{f(2x)+f(2y)} 1/4{f(2x)-f(2y)}

IF x ( dy )/(dx) + y=x . ( f ( x . y) )/( f'(x.y)) then f ( x . y) is equal to ( K being an arbitary constant )

If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

If y=f (x) satisfy the differential equation (dy)/(dx) + y/x =x ^(2),f (1)=1, then value of f (3) equals:

Let f:RtoR be a function given by f(x+y)=f(x)f(y) for all x,y in R .If f'(0)=2 then f(x) is equal to

Let f (x + y) = f(x) f(y) for all x, y, in R , suppose that f(3) = 3 and f '(0) = 2 then f '(3) is equal to-

If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f(4)=2, then f'(4) is equal to