Try to determine a, B, C, D in the curve y = ax ^ 3 + BX ^ 2 + CX + D, such that (- 2,44) is the stationary point and (1, - 10) is the inflection point | Math enthusiast | Mathematical art

Try to determine a, B, C, D in the curve y = ax ^ 3 + BX ^ 2 + CX + D, such that (- 2,44) is the stationary point and (1, - 10) is the inflection point

First, y is second order differentiable
y' = 3ax^2+2bx+c
y'' = 6ax+2b
According to the question:
y|x=-2 = 44
y|x=1 = -10
y'|x=-2 = 0
Y '' | x = - 10 = 0, four equations are obtained, and the parameter values are obtained by solving the equations
a = 1,b = -3,c = -24,d = 16

RELATED INFORMATIONS

1. If the point (1,5) is the inflection point of the curve y = AX3 power + BX square + 2, try to determine a, If the point (1,5) is the inflection point of the curve y = AX3 power + BX square + 2, try to determine the value of a, B?
2. Find the area enclosed by the 1 / 3 power of the curve y = x and y = X
3. X squared + 3x + a = 0 2, followed by X1 and X2, X1 squared - x2 squared = 3 for a X square + 3x + a = 0, 2 roots are X1 and X2 to find X1 square - x2 square = 3 to find a respectively
4. The square of X - 3x + 2 = 0 X1 =? X2 =?
5. The square of X - 3x + 2 = 0, X1 = 1, X2 = 2, the square of X - 3x + 2 = (x-1) (X-2) The square of 5x - 4x-1 = 0, X1 = 1, X2 = - 1 / 5, the square of 5x - 4x-1 = 5 (x-1) (x + 1 / 5) Find the generalization of the conclusion and write it out
6. How to use Rob's method to make a 1 ~ 25 fifth order magic square
7. Try 1-25 to make a magic square
8. Make a magic square of order 9 by using "Rob's method"
9. Please use 7, 9, 11, 13, 15, 17, 19, 21, 23 to form a third-order magic square fast
10. 11 13 17 19 23 29
11. If the tangent l of the curve y = 1 / X passes through the point (2,0), then the equation of L is
12. F () = x3-x2 + 10, find the tangent equation of curve y = f (x) at point (2, f (2)) Online, etc F () = x3-ax2 + 10, there is at least one real number in the interval (), so that the value range of real number can be obtained.
13. Given that the function f (x) satisfies f (x) = 2F (2-x) - x2 + 8x-8 on R, then the tangent equation of the curve y = f (x) at point (1, f (1)) is () A. y=2x-1B. y=xC. y=3x-2D. y=-2x+3
14. The tangent equation of curve f (x) = X2 (X-2) + 1 at point (0, f (0)) is
15. The monotonicity, extremum, concave direction and inflection point of the curve f (x) = 3x-x3 are discussed and plotted
16. The monotonicity, extremum, concave direction and inflection point of the curve f (x) = 3x-x3 are discussed and plotted
17. The required process of finding concave convex interval and inflection point of curve y = x & # 179; - X & # 178; - x + 1
18. Finding the convex concave interval and inflection point of the curve y = x & # 178; - X & # 179
19. What is the inflection point of the curve y = (x-1) ^ 2-1?
20. What is the inflection point of the curve y = x ^ (1 / 3)? If y is derived twice as a function with X as the denominator, how can we find its inflection point if y '' = 0 and the molecule is a constant