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

If x^(m) y^(n) =2(x+y)^(m+n) , the value of (dy)/(dx) is

If x^(m) y^(n) =2(x+y)^(m+n) , the value of (dy)/(dx) is

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

" Find "(dy)/(dx)" if "x^(m)y^(n)=x^(m)+y^(n)

If x = cos alpha + i sin alpha , y = cos beta + i sin beta , prove that x^(m)y^(n)+1/(x^m y^n) = 2 cos (m alpha + n beta) .

The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at any point (x_(1), y_(1)) on it is

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "x^(m).y^(n)+(1)/(x^(m).y^(n))

If m, n integers and x = cos alpha + i sin alpha , y = cos beta + i sin beta, then prove that x^(m) y^(n) + 1/(x^(m)y^(n)) = 2 cos ( m alpha + n beta) " and " x^(m) y^(n) - 1/(x^(m) y^(n)) = 2 i sin ( m alpha + n beta) .

If x=a^(m+n),y=a^(n+1) and z=a^(l+m) prove that x^(m)+y^(n)z^(l)=x^(n)y^(l)z^(m)