X and y be two real numbers such that x greater than zero and xy=1.The minimum value of x+y is
Sulfiya , 6 Years ago
Grade 12th pass
Analytical Geometry> X and y be two real numbers such that x g...
1 Answers
Arun
Last Activity: 6 Years ago
x +y = x + 1/x
Now
(x² + 1)/x = f(x)
Now
Differentiation
2x² - x² -1 /x² = 0
x² -1 = 0
x = ±1
Now
Again differentiation
2/x³
It is positive at x = 1
Hence x+y will be minimum at x= 1
Now
x+y = 1 +1 = 2
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