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

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• 1. Finding monotone interval of function f (x) = - X & # 178; + A / X Urgent ah, know quickly recover The range of a is > 0
• 2. Find the monotone interval of function f (x) = x / (X & # 178; + 1)
• 3. What is the monotonicity of the function f (x) = x & # 178; - 2aX + 1?
• 4. Try to discuss the monotonicity of function f (x) = x x 2 + 1
• 5. The monotonicity of function f (x) = 1 / 3x3 + ax & # 178; + X + 1 is discussed
• 6. 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
• 7. 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)
• 8. 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)
• 9. Finding the n-order derivative dny / DX ^ n of function y = ln (x ^ 2 + 3x + 2)
• 10. [calculus problem] given the function derivative and function value, find this function Find the function y = f (x). In the domain of definition (- π / 2, π / 2), the derivative is dy / DX = TaNx and satisfies the condition that f (3) = 5 The answer is: F (x) = ∫ (upper x, lower 3) tank DT + 5 My question: how is the upper and lower of ∫ determined? Why is the lower of ∫ 3? I thought the upper and lower of ∫ should be interval (here I think the upper and lower should be π / 2 and - π / 2) Great Xia, help to talk and guide maze! Thank you!
• 11. 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
• 12. 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
• 13. 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
• 14. 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
• 15. 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
• 16. What is radical function Please make it more popular
• 17. Find the function f (x) loga (3-2x-x & # 178;) (0
• 18. 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)
• 19. 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?
• 20. 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