The methods of finding the maximum value of function include collocation method, discriminant method, monotonicity of function, mean inequality and so on. In mathematics, continuity is an attribute of a function. Intuitively, a continuous function is a function in which the change of the input value is small enough and the change of the output is small enough. If the small change of input value will cause sudden jump, or even the output value is uncertain, the function is called discontinuous function (or discontinuous function).
1, hook function is a general hyperbolic function similar to inverse proportional function, and its form is f (x) = ax+b/x (a > 0).
2. Internal X>0, capacity f(X)≥2√(aX*b/X)=2√ab, when X
3.∴ When x>0, the minimum value of f(X) =2√ab, when x