Difference and connection between maximum and extreme value in derivative

1, all extreme values conform to dy/dx=0, that is, y' = 0；;

2. Maximum and minimum values, which may be maximum and minimum values, such as y = sinx and y = cos2x.

3. The maximum and minimum values are not necessarily the maximum and minimum values. Like y = x? - x (-5 ≤ x ≤ 5)。

The maximum value is between x=- 1 and x=0, and the minimum value is between x=0 and x= 1.

The minimum value is x=-5, and the minimum value of y =-120; The maximum value is at x=5 and the maximum value is Y = 120.

4. At the maximum and minimum values, there may be dy/dx=0 and Dy/DX ≠ 0; At the maximum and minimum, there is a point where dy/dx=0.

The maximum and minimum values are determined by the function image;

The maximum and minimum values may be determined by the function image or by the interval we give.

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