Given the function f (x) = x cube minus 4x & # 178; 1) find the monotone interval of function f (x) (2) find the function f (x) in the closed interval 0 The known function f (x) = x cube minus 4x & # 178; 1) Finding monotone interval of function f (x) (2) Finding the maximum and minimum of function f (x) in the closed interval 0 4

Derivative function FX = 3x & # 178; - 8x
Let the derivative function FX ＞ 0, then x ＜ 0 or X ＞ 8 / 3 FX is an increasing function
Let the derivative function FX ＜ 0, then 0 ＜ x ＜ 8 / 3 FX is a decreasing function
So the decreasing interval is (0,8 / 3), the increasing interval is (- infinity, 0) and (8 / 3, positive infinity)
One of them knows
F decreases at (0,8 / 3) and increases at (8 / 3,4)
The minimum value is f (8 / 3) = - 256 / 27
f0=0 f4=0

RELATED INFORMATIONS

1. If the function f (x) = ax & # 178; + BX + 3A + B defined on [a-1,2a] is even, then a + B =?
2. The function f (x) is even and is a decreasing function on (- ∞ 0). Try to compare the size of F (- 7 / 8) and f (2a & # 178; - A + 1)
3. Given that even function f (x) (x ≠ 0) is monotone on interval (0, + ∞), what is the sum of all x satisfying f (X & # 178; - 2x-1) = f (x + 1)?
4. If f (x) = (K-3) x & # 178; + (K-2) x + 3 is an even function, then the increasing interval of the function is________
5. Given that the function f (x) = (A-2) x & # 178; + (A-1) x + 3 is even, then the monotone increasing interval of F (x) is?
6. If the function f (x) is defined as an odd function on (- 1,1) and a decreasing function, if f (x-1) + F (1-x & # 178;) < 0, the value range of X is obtained
7. The function y = f (x) is a decreasing function defined on R and an odd function. Solve the equation f (X & # 179; - x-1) + F (X & # 178; - 1) = 0
8. It is known that the odd function f (x) is a decreasing function defined on (- 1,1), and f (1-T) + (1-T & sup2;)
9. The monotone increasing interval of function y = 2x Λ & #178; + x-3 is
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