Given the function f (x) = cosx + ax ^ 2, when x is greater than or equal to 0, the minimum value of a with F (x) greater than or equal to 1 is k, and the value of K is obtained

Given the function f (x) = cosx + ax ^ 2, when x is greater than or equal to 0, the minimum value of a with F (x) greater than or equal to 1 is k, and the value of K is obtained

This is the derivative of the application of class problems, should be high two mathematics or high three exercises on the problem, the specific approach is as follows: observation f (0) = 1, so the problem is to find f (x) > = f (0) constant hold, that is, f (0) is 0 to positive infinity on the minimum value, so the function in 0 to positive infinity monotonically increasing, that is, f '(x) > = 0 in 0 to positive infinity on constant