If `f(x, y) =2x^3 -11x^2y+ 3y^3`, show that: `x (deltaf)/(deltax) + y (deltaf)/(deltay)=3f(x,y)`

If f(x,y) =2x^(3) - 11x^(2)y + 3y^(3) , prove that x(del f)/(del x) + y(del f)/(del y)=3f .

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If f(x,y) =x^(3) + y^(3) -3xy^(2) , then (del f)/(del x) at x=2, y=3 is

If f(x)=(2x+1)/(3x-2)=y ,show that x=f(y).

If f(x + y) = f(x) - f(y), forall x, y in R , then show that f(3) = f(1)

If y=2x^(3) - 2x^(2) + 3x-5 , then for x=2 and Deltax =0.1 , the value of Deltay is:

If U=ln(x^3+y^3+z^3-3xyz) , show that frac[deltau][deltax]+frac[deltau][deltay]+frac[deltau][deltaz]=frac[3][x+y+z]

If y=f(x)=(x+1)/(2x+3), where x ne -(3)/(2) , show that: f(y)=(3x+4)/(8x+11) .