Derivative extremum problem We know that f (x) = - A * x to the third power plus b * x to the second power. When x = 1, there is a maximum. 3. Find the value of a and B. the minimum of F (x)

Derivative extremum problem We know that f (x) = - A * x to the third power plus b * x to the second power. When x = 1, there is a maximum. 3. Find the value of a and B. the minimum of F (x)


Y '= 3ax2 power + 2bx
Because when x = 1, we get the maximum
So, y '= 0
3a+2b=0(1)
And because when x = 1, y = 3
So a + B = 3 (2)
Lian Li, (1) (2) get
a=-6 b=9
Y = - 6x3 power + 9x2 power
Y '= - 18x2 power + 18x
When y '= 0
X = 0 or 1
When x = 0, the minimum value of Y is 0