Finding monotone interval of function f (x) = - X & # 178; + A / X Urgent ah, know quickly recover The range of a is > 0 | Math enthusiast | Mathematical art

Finding monotone interval of function f (x) = - X & # 178; + A / X Urgent ah, know quickly recover The range of a is > 0

f(x)=-x²+a/x
Let f (x) 1 = - X & # 178; f (x) 2 = A / X
If f (x) 1 and f (x) 2 are in the same interval and monotone direction, they are monotone intervals of F (x)
F (x) 1 = - X & # 178; monotonically increasing on (- ∞, 0) and monotonically decreasing on (0, + ∞)
When a > 0, f (x) 2 = A / X decreases monotonically on (- ∞, + ∞)
So when a > 0, the function f (x) = - X & # 178; + A / X decreases monotonically on (0, + ∞)
When a

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