A mathematical problem about derivative in Senior High School A rectangle with a circumference of 16 cm rotates around one side to form a cylinder. When the length and width of the rectangle are different, the volume of the rectangle is the largest?

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• 1. derivatives f（x）=x（e^x -1）-1/2 x^2 The derivative is f'（x）=e^x -1+xe^x-x=（e^x-1）（x+1） And what about the derivative with e?
• 2. It is known that the derivative of quadratic function f (x) = AX2 + BX + C is f '(x), f' (0) & gt; 0. For any real number x, if f (x) ≥ 0, then the minimum value of F (1) f '(0) is () A. 2B. 52C. 3D. 32
• 3. If an inverted conical container with a bottom radius of R cm and a height of H cm is filled with water at the speed of N cubic centimeter per second, the rate of water surface rising in t second is calculated If the answer is very detailed, I will increase the reward points
• 4. If the tangent of the curve y = e ^ x is made through the origin, the tangent point coordinate is, and the tangent slope is Sorry, I didn't play well just now, hee hee
• 5. Given a point (1,7) on the image of function y = 2x ^ 2 + 5 and its adjacent point (1 + △ x, 7 + △ y), then △ Y / △ x=
• 6. It is known that the value range of the independent variable X of a certain function is 2 less than or equal to x less than or equal to 6, and the value range of the corresponding function value y is 5 less than or equal to y less than or equal to 6 13, find the analytic expression of this function
• 7. The image with positive scale function y = - 2x passes through the second step_________ In the quadrant, the function y increases with the increase of the independent variable x_______ It is known that the image of the linear function y = KX + 3 The image with positive scale function y = - 2x passes through the second step_________ In the quadrant, the function y increases with the increase of the independent variable x_______ It is known that if the image of a linear function y = KX + 3 passes through a point (- 1,2), then K=___________
• 8. For a linear function y = - 2x + 3, the value range of the independent variable X of its image in the first quadrant is? The answer is 0 ＜ x ＜ 3 / 2,
• 9. How to draw the image of the first-order function (e.g. y = 2x [0
• 10. Y = quadratic of X / quadratic of X + 1 (x belongs to R) Y value range
• 11. A math problem (don't use derivation) Finding the minimum value of X + 1 / (x + 1) (x > 1)
• 12. What is the maximum value of x ^ 2 + y ^ 2 = 1,3x-4y?
• 13. If x ^ 2 + y ^ 2 = 1, what is the maximum value of 3x-4y
• 14. If x ^ 2 + y ^ 2 = 1, what is the maximum value of 3x-4y
• 15. It is known that the definition field of function FX is (0, positive infinity) and FX is an increasing function on the definition field, f (XY) = f (x) + F (y), and f (2) = 1, If f (3) = 1 and f (a) is greater than f (A-1) + 2, the value range of a is obtained
• 16. Given that the definition field of function FX is (0, positive infinity) and f (XY) = f (x) + F (y), f (1 / 2) = 1, find f (2) Forget to ask f (4) F8 ()
• 17. Given 3x = 5Y, 4x = 5Z, find the ratio of X and Z. find X: Y: Z Speed before 8:30! 1
• 18. Solution 1: given that X: Y: z = 3:4:5, and 3x-4y + Z = - 4, find the value of formula x-3y + 5Z. 2 a batch of manuscripts, a copy 30 hours, B copy 20 hours, now from a copy 3 hours later to B copy the rest, ask B how many hours still need to copy (equation solution)
• 19. A / | a | + | B | / B + C / | C | = 1, then the value of (| ABC | / ABC) ^ 2006 / (BC / | ab | · AC / | BC | · AB / | AC |) is________ .
• 20. 1. It is known that a, B and C are not equal to each other Find 2a-b-c / (a-b) (B-C) + 2b-c-a / (B-C) (B-A) + 2c-a-b / (C-A) (C-B) =? (/ is a fractional line) 2. It is known that 1 / A + 1 / B + 1 / C is not equal to 0 The solution equation is: x-a-b / C + x-b-c / A + x-c-a / B + 3 It's better to be careful I'm very sorry. I missed it~ x-a-b/c+x-b-c/a+x-c-a/b+3=3