In a linear function y = 2x-3, if x = 0, then y = how much; when the independent variable x is, the value of the function is greater than 0 ,x=0,

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• 1. If y = f (x) is a differentiable function, then when △ x → 0, △ y-dy is the infinitesimal of △ X（
• 2. It is said that "if y = f (x) is differentiable at point x, then when △ x → 0, the differential dy of the function at point x is infinitesimal of the same order of △ X." Is this statement correct? Why? The answer is incorrect. Please explain
• 3. Let f (x) be differentiable, then when △ x → 0, △ y-dy is infinitesimal of higher order compared with X,
• 4. If f (x) is a differentiable function, then dy is a linear function of △ X Why? Dy = f '(x) △ x, f (x) is a function of X, also called the linear function of △ x?
• 5. The relation between continuity and differentiability of binary function For example, if f (x, y) is continuous at point (0,0), then if x and y are all close to 0, f (XY) / (| x | y |) exists, is f (XY) differentiable at point (0,0) I know how to smoke The denominator is (| x | plus | y |)
• 6. Is the partial derivative of a function independent of the order of derivation
• 7. There are 500 notebooks for students, 5 for each, then the function between the remaining number of books y and the number of students x is______ The value range of the independent variable x is______ ．
• 8. The unit price of a notebook is 5 yuan. It takes y yuan to buy x (x ∈ {1,2,3,4,5} laptops. Try three expressions of the function y = f (x)
• 9. If each bottle of purified water costs 2 yuan, the functional relationship between the amount of money spent on the purchase of purified water and Y (yuan) and the quantity purchased x bottles and the value range of the independent variable are given How much is it
• 10. If the derivative of F (x) = ∫ x0 (x2-t2) f ′ (T) DT is infinitesimal equivalent to X2, then f ′ (0)=______ ．
• 11. Given the function y = - 2x + 3, when the independent variable x increases by 1, the function value Y () A. Increase 1b. Decrease 1C. Increase 2D. Decrease 2
• 12. For the function y equals x + 1 / X_ 1, when the value of the independent variable x is? The function value is equal to 0
• 13. What kind of function is y equal to 1 when the independent variable x is 0, and y equal to 0 when the independent variable x is finite It should be found in hyperbolic function or other trigonometric function
• 14. When the value of independent variable x satisfies what conditions, the value of function y = three-thirds of X + 6 satisfies the following conditions? （1）y=0 （2）y＜0 （3）y＞0 （4）y＜2
• 15. When I assign homework to students, I design three tables: the answers are encrypted and hidden. When students do homework, they can check whether they fill in correctly in the marking form. Only if the values are the same, they can put G1, "correct" and "wrong" in the marking form, But the students filled in the result of the oral calculation. Obviously, it can't be judged as correct. How can we judge that the two tables are not only of the same value, but also of the same formula or function? Supplement: since it is a form of marking, there are more than three or two judgments, such as the score sheet, total score, ranking, passing rate, highest score and so on
• 16. What function formula does excel use to count the number of values in the table? If there are several numbers in the table (- 1, - 2, - 3, - 4, - 5, - 6,0,1,2,3,4,5,6), use the formula to find out ≤ - 3, - 3 〈? Number ≥ 0, number > 0
• 17. For example, for the function y = X-1, let y = 0, we can get x = 1, we say 1 is the zero point of the function y = X-1 The known function y = x 2 - 2mx - 2 (M + 3) (M is a constant) (1) When m = 0, find the zero point of the function; (2) It is proved that no matter what value m takes, the function always has two zeros; (3) Let the two zeros of the function be x 1 and x 2 respectively. At this time, the intersection of the function image and the X axis is a and B respectively (point a is on the left side of point B), and point m is on the line y = X-10. When Ma + MB is the minimum, the analytic expression of the function of the line am is obtained
• 18. For example, for the function y = X-1, let y = 0, we can get x = 1, we say 1 is the function y = X-1
• 19. For example, for the function y = X-1, let y = 0, we can get x = 1, we say that 1 is the zero of the function y = X-1. It is known that the function y = x2-2mx-2 (M + 3) (M is a constant). (1) when m = 0, find the zero of the function; (2) prove that no matter what value m takes, the function always has two zeros; (3) let the two zeros of the function be respectively The intersection of function image and X axis is a and B respectively (point a is on the left side of point B), and point m is on the line y = X-10. When Ma + MB is the minimum, the function analytic expression of line am is obtained
• 20. There is a relation between square area s and side length a, where () is an independent variable and () is a function of ()