Find the extreme value of the following function y = x ^ 4-8 * x ^ 3 + 18 * x ^ 2-1

y'=4x³-24x²+36x=0
4x(x²-6x+9)=0
x²-6x+9=(x-3)²>=0
So x = 0
So x = 0 is a minimum
So the minimum = - 1

RELATED INFORMATIONS

1. What is the extremum of the function z = x ^ 2-y ^ 2 + 1? A.(0,0) B.(0,1) C.(1,0)
2. Finding the extremum of function y = x ^ 4-8x ^ 2 + 2
3. Find the extreme value of the following function y = x ^ 4-8x ^ 3 + 18 ^ 2-1
4. Finding the extremum of function y = 8x ^ 3-12x ^ 2 + 6x + 1
5. Find the extreme value of the function in the interval, y = 2x ^ 2-8x + 4, X ∈ [1,4]
6. Finding the extremum of function y = 8x ^ 2-12x ^ 2 + 6x + 1
7. Find the extremum of the function z = f (x, y) determined by the equation x ^ 2 + y ^ 2 + Z ^ - 2x-4z-10 = 0
8. Find the extremum of the implicit function z = Z (x, y) determined by the equation 2x ^ 2 + 2Y ^ 2 + Z ^ 2 + 8xz-z + 8 = 0
9. Find the extremum of function y = (2x / x ^ 2 + 1) - 2
10. How to calculate the extremum of function y = x into x + 2x + 1?
11. The number of extreme points of function y = x ^ 4 / 4-x ^ 3 / 3 is
12. Find the monotone interval and extremum of the following function, y = (x-1) (x + 1) ^ 3, y = 2 / 1 + x ^ 2
13. Find the extremum of function f (x, y) = x × x × X-Y × y × y + 3 × x × x + 3 × y × y-9x
14. Find the extremum and maximum value of function y = x ^ 3-x ^ 2-x + 1 in X belonging to [- 2,2]
15. Find the conditional extremum of function z = XY under given condition x + y = 2
16. Find the extremum of function z = XY (3-x-y), (x > 0, Y > 0)
17. Finding the extremum of function z = x ^ + XY + y ^ + X-Y + 1
18. Finding the conditional extremum of the function z = XY satisfying the condition x + y = 1
19. Finding the extremum of function z = XY (a-x-y) I'm going over the exam,
20. The monotone interval of function y = radical X-1 + radical x + 3 is The monotone interval of function y = radical (x-1) + radical (x + 3) is