The monotonicity, extremum, concave direction and inflection point of the curve f (x) = 3x-x3 are discussed and plotted

First, we obtain the first derivative, y ′ = 3-3x2 = - 3 (x + 1) (x-1), let y ′ < 0, and obtain monotone decreasing intervals (- ∞, - 1) and (1, + ∞); let y ′≥ 0, and obtain monotone increasing intervals [- 1, - 1]; let y ′ = 0, and obtain stationary points x = - 1 and x = 1, and the increase or decrease of these two points changes, where when x = - 1, we obtain

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1. The monotonicity, extremum, concave direction and inflection point of the curve f (x) = 3x-x3 are discussed and plotted
2. The tangent equation of curve f (x) = X2 (X-2) + 1 at point (0, f (0)) is
3. 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
4. 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.
5. If the tangent l of the curve y = 1 / X passes through the point (2,0), then the equation of L is
6. 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
7. 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?
8. Find the area enclosed by the 1 / 3 power of the curve y = x and y = X
9. 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
10. The square of X - 3x + 2 = 0 X1 =? X2 =?
11. The required process of finding concave convex interval and inflection point of curve y = x & # 179; - X & # 178; - x + 1
12. Finding the convex concave interval and inflection point of the curve y = x & # 178; - X & # 179
13. What is the inflection point of the curve y = (x-1) ^ 2-1?
14. 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
15. Inflection point of curve y = (x-1) ^ 3-1~ I know the answer is (1,
16. Let f (x) have the second derivative, try to prove that the abscissa a of the inflection point of the curve y ^ 2 = f (x) is suitable for the following relation (f '(a)) ^ 2 = 2F (a) f' '(a)
17. How to prove that a curve passes a fixed point
18. It is proved that the curve y = (x + 1) / (x ^ 2 + 1) has three inflection points on the same line After getting the second derivative of the function, I don't know how to get all three points
19. It is proved that the curve y = (x-1) / (x ^ 2 + 1) has three inflection points, and the three inflection points lie on the same straight line,
20. It is proved that the inflection point of the curve y = xsinx must be on the curve y ^ 2 (4 + x ^ 2) = 4x ^ 2