F (x) is a differentiable function defined on (0, + ∞) and satisfies XF '(x) - f (x) a

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• 1. Let f '(x) = f (x), f (x) be a differentiable function, f (0) = 1, and f (x) = XF (x) + x ^ 2, find f' (x) and f (x)
• 2. If f (x) is known to be a differentiable function, then Lim △ x → 0 f ^ 2 (x + △ x) - f ^ 2 (x) / △ x =?
• 3. How to prove that a function is bounded in an interval
• 4. It is proved that the function y is uniformly continuous in the finite open interval (a, b), then it is bounded in this interval
• 5. It is proved that if f (x) is differentiable on the interval I and the derivative function on I is bounded, then f (x) is uniformly continuous on I
• 6. Let f (x) and G (x) be bounded on D. It is proved that f (x) + G (x), f (x) - G (x), f (x) * g (x) are also bounded on D There is another proof that the function y = xsinx is unbounded on (0, + 8), that, + 8 is positive infinity
• 7. What is the derivative of logx?
• 8. F (x) = logx / X for the first and second derivatives Dizzy.. Every answer is heavy.
• 9. What is the derivative of the derivative of F (x) = log (4x logx)
• 10. What is the derivative of logx ^ 2? What is the result of deriving logx ^ 2
• 11. If e ^ x is a primitive function of F (x), then ∫ XF (x) DX limit
• 12. If the differentiable function f (x) defined on (0, + ∞) satisfies: X · f '(x) < f (x) and f (1) = 0, then the solution set of F (x) x < 0 is () A. （0，1）B. （0，1）∪（1，+∞）C. （1，+∞）D. ϕ
• 13. This paper discusses the limit of function f (x) = | x | / X when x tends to 0 Use piecewise function, be specific
• 14. The derivative function f '(x) of function f (x) is continuous, and f (0) = 0, f' (0) = A. note that the nearest point of curve y = f (x) and P (T, 0) is Q (s, f (s)), and find the limit value Lim s / T (when t tends to 0)
• 15. Let f (x) be differentiable at x = 0, and f (0) = 0, then find the following limit, where a is not equal to 0 and is a constant lim x→0 [ f(ax)-f(-ax)]/x
• 16. If the function f (x) is differentiable at x = 0, and f (0) = 0, X tends to 0: then find the limit f (x) / x =?
• 17. It is known that the two zeros of the function f (x) = AX2 + (B-8) x-a-ab are - 3 and 2 respectively. (I) find f (x); (II) find the range of F (x) when the domain of F (x) is [0,1]
• 18. When x → x0, limf (x) and limg (x) = ∞, then why is limf (x) + G (x) = ∞ wrong when x → x0?
• 19. Is there any relationship between the existence of limit of function at x point and the continuity of function at x point and the uniform continuity of function at x point?
• 20. Let f (x) = e * X The * on the E * should be replaced by * if x can't be typed