It is proved that the function f (x) = the eighth power of X - the fifth power of X + the second power of X - the value of X + 1 is a constant positive number
1) When x = 1;
2) When 0
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- 1. If f (x) = x * δ (x); (where δ (x) is a Dirac function), then f (x) is always zero, please prove it Don't pour water
- 2. Finding monotone interval of function f (x) = - X & # 178; + A / X Urgent ah, know quickly recover The range of a is > 0
- 3. Find the monotone interval of function f (x) = x / (X & # 178; + 1)
- 4. What is the monotonicity of the function f (x) = x & # 178; - 2aX + 1?
- 5. Try to discuss the monotonicity of function f (x) = x x 2 + 1
- 6. The monotonicity of function f (x) = 1 / 3x3 + ax & # 178; + X + 1 is discussed
- 7. Find a point P on the parabola y ^ 2 = 4x, so that the distance from point P to the straight line y = x + 3 is the shortest
- 8. Given the function f (x) = ln (1 + x) - x + K / 2 * x * x (k is not less than 0) (1) when k = 2, find the tangent equation of curve y = f (x) at point (1, f (1)) Which year's college entrance examination question is this? The second question is to find the monotone interval of F (x)
- 9. Let f (x) = x · ekx (K ≠ 0) ((ekx) ′ = kekx) (1) find the tangent equation of curve y = f (x) at point (0, f (0)); (2) find the monotone interval of function f (x)
- 10. Finding the n-order derivative dny / DX ^ n of function y = ln (x ^ 2 + 3x + 2)
- 11. It is proved that the value of function f (x) = x ^ 6 + x ^ 3 + x ^ 2 + X + 1 is always greater than zero There are additions
- 12. Given the function f (x) = (AX-2) / (x + 1) (1) it is proved that when a = 1, the function f (x) is an increasing function on (- 1, + ∞); (2) if the function f (x) is a Zeng function on (- 1, + ∞), the value range of a is obtained
- 13. The function f (x) = x & # 178; + 2ax-3 is known. When we ask the value of a, the minimum value of the function is - 4
- 14. How to find the maximum value of the root function, there is only one root function. The title is y = x quadratic under the root sign + 6x-4. Find the maximum value of this function
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- 17. Given that the function f (x) = 1 / (√ x ^ 2-ax + 3a) is a decreasing function in the interval [2, positive infinity], then the value range of a is______ The answer is (- 4,4)
- 18. Given that the function f (x) = log0.5 (x ^ 2-ax + 3a) is a decreasing function in the interval [2, positive infinity], then the value range of a?
- 19. Given the function f (x) = Log1 / 2 (- ax & # 178; + 2x + 3), if f (x) is an increasing function on [2,4], find the value range of real number a
- 20. The monotone decreasing interval of the function Log &; (3 + 2x-x ^ 2) is