![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Let the minimum value of F (x) = ax ^ 3 + BX ^ 2 + CX be - 8, and the image of its derivative function y = f '(x) passes through the point (- 2,0) (2 / 3,0) My equation is 64x3a-16b + C = 0 -8a+4b-2c=0 (8 / 27) a + (4 / 9) B + (2 / 3) C = 0, how to solve these three equations and find the process B = - C and what happened? Everybody speed... T-T
Yuyuxiaofan, you seem to have a wrong understanding of the concept of extremum. Extremum is the value of function, not the value of independent variable. The minimum value of F (x) = ax ^ 3 + BX ^ 2 + CX is - 8, and the image of its derivative function y = f '(x) passes through the point (- 2,0) (2 / 3,0), so f' (x) = 3ax ^ 2 + 2bx + C = 0, and the two roots are - 2,2 / 3, so - 2 + 2 / 3 = - 2b / 3
RELATED INFORMATIONS
- 1. Let the minimum value of F (x) = ax ^ 3 + BX ^ 2 + CX be - 8, and the image of its derivative function y = f '(x) passes through points (- 2,0) and (2 / / 3,0), as shown in the figure (1) Finding the analytic expression of F (x) (2) If f (x) ≥ m ^ 2-14m holds for X ∈ [- 3,3], the value range of real number m is obtained (the picture shows: the opening of the image is downward, the intersection of the image and the X axis is - 2,2 / 3, and the intersection of the image and the Y axis is above.)
- 2. Is the existence of partial derivative the same as the existence of partial derivative? (function of two variables)
- 3. The existence of partial derivative of binary function, why can we deduce the following first 1. X - > x0 Lim f (x, Y0) = y - > Y0 Lim f (x0, y) 2. F (x, y) is differentiable at P0. If a function of one variable is differentiable, the curve is smooth. Why is it not that a function of two variables is differentiable? What is the geometric meaning of differentiable function of two variables?
- 4. If f ′ (x0) = - 3, then Lim [f (x0 + H) - f (x0-3h)] / h= process
- 5. If f ′ (x0) = - 3, then limh → 0f (x0 + H) - f (x0-h) H = () A. -3B. -6C. -9D. -12
- 6. If f ′ (x0) = - 2, then Lim [f (x0 + H) - f (x0-h)] / h=
- 7. When Lim h tends to zero, (f (x0 + H) - f (x0-h)) / 2H = f '(x0) can't understand
- 8. If f (x) is differentiable at point X and lim f (x-3h) - f (0) / h = 1, then f '(x) =? H-0
- 9. Let f (x) be differentiable at x = 2 and f '(2) = 2, then Lim h → 0 [f (2-3H) - f (2)] / h =?
- 10. If the function f (x) is differentiable at x = a, then Lim h → 0 (f (a + 3H) - f (A-H)) △ 2H =?
- 11. Let the minimum value of F (x) = ax ^ 3 + BX ^ 2 + CX be - 8, and the image whose derivative y = f '(x) passes through the point (- 2,0) (2 / 3,0), The minimum value of F (x) is - 8. Can (- 8,0) be brought in? Isn't the minimum a point with zero derivative?
- 12. Given that the derivative of the function f (x) = AX3 + bx2 + CX is even, then A f (x) is an even function B F (x) is an odd function C f (x) has both maxima and minima
- 13. How can we get the result of ∫ (upper Π / 4 lower 0) tanxdx = lncosx I (upper Π / 4 lower 0)?
- 14. What is the mathematical symbol and what does it stand for
- 15. [(12.56/3.14)^2*3.14/(4*3)]/(1^2*3.14)=1.3m ^
- 16. What does the mathematical symbol * stand for
- 17. How to express "or" with mathematical symbol
- 18. What does this mathematical symbol mean?
- 19. What does the mathematical symbol "∮" mean?
- 20. How to express every minute in mathematical symbols