(this is the original problem) given the function f (x) = the square of the cubic-2 / 1 x of X + BX + C. question: if there is a tangent parallel to the x-axis in the image FX, find the value range of B? If f (x) has an extreme value when x = 1, and X &; [- 1,2], f (x)

(this is the original problem) given the function f (x) = the square of the cubic-2 / 1 x of X + BX + C. question: if there is a tangent parallel to the x-axis in the image FX, find the value range of B? If f (x) has an extreme value when x = 1, and X &; [- 1,2], f (x)

f(x)=x^3-x^2/2+bx+c
f'(x)=3x^2-x+b
There is a tangent parallel to the x-axis, that is, there is a point with a slope of 0, and f '(x) has a point of 0
The solution of (f '(x) △ = 1-12b > = 0 is: B