f_(0)x_(y)^(m)=(x+y)^(m+n)," then "

If x^(m).y^(n)= (x+ y)^(m+n) then show that, (d^(2)y)/(dx^(2))=0

If x^(m)y^(n)=(x+y)^(m+n) , then (dy)/(dx)=

If x^(m)y^(n)=(x+y)^(m+n), then ((dy)/(dx))_(x=1,y=2) is equal to

If x^(m)*y^(n)=(x+y)^(m+n) then (dy)/(dx) is:

If x^(m)y^(n)=(x+y)^(m+n)

Let m and n be positive integers and x,y gt 0 and x+y =k, where k is constant. Let f (x,y) = x ^(m)y ^(n), then: (a) f (x,y) is maximum when x= (mk)/(m+n) (b) f (x,y) is maximuim where x =y (c) maximum value of f (x,y) is (m^(n)n ^(m) k ^(m+n))/((m+n)^(m+n)) (d) maximum value of f (x,y) is (k ^(m+n) m ^(m)n ^(n))/((m+n)^(m+n))