If xx + yx = 1, find
Let xx = u and yx = v
Taking log on both sides we get,
x log x = log u ……(1),
x log y = log v ……(2)
Using
Differentiating both sides of equation (1) we get,
Differentiating both sides of equation (2) we get,
We know that, from question,
u + v = 1
Differentiating both sides we get,
Putinng the value of eq(4) and eq(5) in equation above we get,