The function f (x) = 1 / 3x3-1 / 2ax2 + 2 / 3a, where a > O, if x > = 0, f (x) > 0 holds, the value range of a is obtained

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• 1. Given that the function f (x) = 1 / 3 x & # 179; + 1 / 2 ax & # 178; + BX has an extreme point in the interval [- 1,1), (1,3], then the value range of a-4b is
• 2. F (x) = 1 / 3x3 + 1 / 2ax2 + AX-2. A ∈ R. if the function f (x) is a monotone increasing function on (- ∞, + ∞), find the value range of A
• 3. Let the function f (x) = - 1,3x3 + x2 + (M2-1) x belong to R, and find the monotone interval and extremum of the function
• 4. Given the function f (x) = MX / (square of X + n), m and N belong to R, and the maximum value 2 is obtained at x = 1 1. Find the analytic expression of function f (x) 2. Find the maximum of function f (x)
• 5. If the function f (x) = x · (x-C) 2 has a maximum at x = 2, then the value of constant C is () A. 6B. 2C. 2 or 6D. 23
• 6. Let the square of function f (x) = x (x-a) have a maximum at x = 2, and find the value of real number a
• 7. If the function f (x) = x ^ 3 + 2x ^ 2-ax + 3 has both minimum and maximum, then the value range of a is?
• 8. Given the function f (x) = - x ^ 2 + ax + 1-lnx, does the function have both maxima and minima? If so, find out the value range of A. if not, explain the reason
• 9. Given the function f (x) = x, G (x) = 3 / 8x ^ 2 + LNX + 2. (1) find the maximum and minimum points of the function f (x) = g (x) - 2F (x)
• 10. Given the function f (x) = (KX + 1) / (x2 + C), find the maximum m and minimum m of the function, and the value range of M-M > = 1 Given the function f (x) = (KX + 1) / (x2 + C) (c > 0 and C is not equal to 1, K belongs to R), find the maximum m and minimum m of the function, and the value range of K when M-M > = 1 K radical 2 Thank you first
• 11. Find the expression of M (a) when the minimum value of function f (x) = x ^ 2 + 2aX + 3 is m (a)
• 12. Let f (x) = x ^ 2-2ax + 1 (a is a real number) be g (a) when - 2 ≤ x ≤ 1 Find g (a) expression, monotone interval, range
• 13. Find the maximum and minimum value of function f (x) = - x ^ 2 + 2ax-1 on [0,2]
• 14. Given the function f (x) = x3-ax2-3x (1), if f (x) is an increasing function in the interval [1, + ∞), find the value range of real number a; (2) if x = - 13 is an extreme point of F (x), find the maximum value of f (x) in [1, a]; (3) under the condition of (2), whether there is a real number B, so that the image of function g (x) = BX and the image of function f (x) have exactly three intersections, if there are, please Find out the value range of real number B; if it doesn't exist, explain the reason
• 15. For any real number x belonging to R, the function f (x) + LG (the square of MX - 4mx + 3) is meaningful to find the value range of real number M
• 16. (1) For any real number a of inequality 1, the fixed point of the image constant of the function f (x) = loga (x + 3) - 2x is (2) Let the image of inverse function of function f (x) = loga (x + 2) + 1 (a > 0, a ≠ 1) pass through points (3,4), and find the value of A
• 17. Suppose that the image of quadratic function f (x) = (x + 1) ^ 2 + M-1 has three different intersections with the two coordinate axes, 1 is used to find the value range of real number M 1. Find the value range of real number M 2. Let the circle passing through three intersections be C, and find the equation of circle C Method of solving
• 18. If the minimum value of the function f (x) = - 2x ^ 3-3x ^ 2 + 12x + 1 in the interval [M, 1] is - 17, then M =?
• 19. Find the monotone interval of function f (x) = 2x ^ 3-3x ^ 2-12x + 13 Why does the answer increase monotonically in the interval (- infinity, - 1) and [2, + infinity], and decrease monotonically in the interval [- 1,2]. Why does it not increase monotonically in the interval (- infinity, - 1) and (2, + infinity), but decrease monotonically in the interval (- 1,2). Why is the closed interval taken instead of the open interval
• 20. 2. Function y = (1 / 2m-3) x, when x increases gradually, the value of Y increases gradually, and the value range of M is obtained