What is the minimum value of the function f (x) = - x + 3x + 4 Wrong. What is the minimum value of F (x) = - x ^ 3 + 3x + 4

What is the minimum value of the function f (x) = - x + 3x + 4 Wrong. What is the minimum value of F (x) = - x ^ 3 + 3x + 4

Derivation, child ~ F '(x) = - 3x ^ 2 + 3, when f (x) = 0, x = 1 or - 1, f (x) in (∞, - 1), (1, ∞) on the simple subtraction, in (- 1,1) on the simple increase, so the minimum value of F (- 1) = 0, you have not learned the derivative ~ later this kind of problem will use the derivative

The minimum value of function f (x) = - X & sup3; + 3x + 1 is

F (x) = - X & sup3; + 3x + 1F '(x) = - 3x & sup2; + 3x when f' (x) > 0, - 3x & sup2; + 3x = - 3x (x-1) > 0, i.e. 0 < x < 1; when f '(x) < 0, - 3x & sup2; + 3x = - 3x (x-1) < 0, i.e. x > 1 or x < 0. When f' (x) = 0, x = 0 or 1  f (x) decreases at (- ∞, 0), increases at (0,1), and decreases at (1, + ∞)

Is the image of function f (x) = X3 + SiNx + 1 symmetric with respect to point (0,1)?

g(x)=x³+sinx
Obviously he's an odd function
Origin of Symmetry
And f (x) is to move g (x) up one unit
So it's symmetric about point (0,1)

On what symmetry is the image of function f (x) = x + SiNx + 1

Let g (x) = x + SiNx,
Obviously, the function g (x) is odd, so its image is symmetric about the origin,
The function f (x) can be seen as a result of the image of function g (x) moving up one unit,
So the image of function f (x) is symmetric about point (0,1)

For a certain mass of carbon dioxide, when its volume v = 5m ^ 3, its density p = 1.98kg/m3. (1) find the functional relationship between P and V

If the mass is fixed, M = P * V = 1.98 * 5 = 9.9kg, i.e. p * V = 9.9kg
P = 9.9 / v = 9.9 / 9 = 1.1m3

Factoring the square difference
2X squared - 18=____
Cube of X, cube of Y - cube of 2x, cube of Y + XY=______
Calculation: square of 2011 - 2010 × 2012=______
If x + y = 7 and xy = 10, then the square of X and the square of Y + XY should be_______

We can get 2 × (x + 3) × (x-3) 2 by extracting the common factor and following the square difference formula. First, we can get the cube of 1-x and the cube of Y by subtraction. At this time, we can not use the square difference formula any more. We can only use the square difference formula to get (1-xy) (the square of 1 + XY + X and the square of Y) 32010 × 2012 = 2010 × 201

If the coordinate of the point is (3,2), and it is the focus of the parabola y square = 2x, when the point m moves on the parabola, the coordinate of M which makes the absolute value of MF + Ma minimum is

(3,2) this point is proved to be a point inside the parabola. As a point on the parabola, the distance from MF to the focus of the parabola is naturally equal to the distance from MF to the collimator x = - 1 / 2. When MC is perpendicular to the collimator, the perpendicularity is C, so MF + Ma = MC + ma. The shortest time is of course when MAC three points are collinear, so when the minimum value is removed
M is (2,2), and the minimum value is 7 / 2

There is a single cylinder four stroke gasoline engine, cylinder diameter is 65mm, piston moving distance is 55mm, flywheel speed is 1500r / min, engine power is 2.2kW?

First calculate the engine displacement v = 32.5 * 32.5 * 3.14 * 55 = 182995.3125 = 0.183l
Engine power P = VNP / (30t) t is the number of engine strokes
That is, 2.2 = 0.183 * 1500 * P / 120
The average gas pressure (average effective pressure) P = 0.963mpa

It's like the principle of multiplication
three
How to calculate a question like C10? C is very big, with a small 3 on the top and a small 10 on the bottom. What does this symbol mean and how to calculate it?

The formula of number sequence in Mathematics
Original formula = (10 * 9 * 8) / (3 * 2 * 1) = 120

Ordinary differential equation dy / DX = (x ^ 3 + XY ^ 2) / Y