Finding the derivative of X / SiNx

Finding the derivative of X / SiNx


F(x)=x/sinx==>
F’(x)=(sinx-xcosx)/(sinx)^2



There is a cube whose edge length is 6cm. If you cut this cube into small cubes whose edge length is 2cm, what is the sum of the surface areas of these small cubes
emergency


Cube volume = 6 & sup3; = 216 (cm3)
Small cube volume = 2 & sup3; = 8 (cm3)
Total number of small cubes divided = 216 △ 8 = 27
Surface area of each small cube = 6 × 2 × 2 = 24 (square centimeter)
Total surface area = 24 × 27 = 648 (cm2)



Please mark the serial number clearly,
1. When the small magnetic needle is stationary in different places around, its direction is general__________ We will_____________ It is called the magnetic field direction of the D point
2. There is a magnetic field around the electrified wire, and its direction is similar to that of the conductor_______ of
3. The electrified conductor will be subjected to magnetic field________ If only the direction of the current in the conductor is changed, then________ If only the direction of the magnetic field is changed, then_________ If the direction of the current and the direction of the magnetic field are changed at the same time, then_________
4. In order to make the electrified coil rotate continuously in the magnetic field, it is necessary to make the coil automatically rotate when it has just passed the balance position_____ Direction, the device that accomplishes this task is called______ .
5. There are several ways to change the rotation direction of DC motor model____ And______ There are several ways to change the rotational speed of DC motor______ And______
six


The direction of the ampere force (note not the direction of the magnetic field, because the magnetic field is original, and its direction is only determined by itself) the direction of the ampere force does not change the direction of the magnetic field



Find the special solution of the equation dy / dx-2y / x + 1 = (x + 1) ^ 5 / 2 satisfying y | x = 0 = 1


∵ dy / dx-2y / (x + 1) = (x + 1) ^ 5 / 2 = = > 2Y / (x + 1) = y '- (x + 1) ^ 5 / 2 = = > 2Y = (x + 1) y' - (x + 1) ^ 6 / 2 ∵ y = (x + 1) y '/ 2 - (x + 1) ^ 6 / 4 let P = y', then y = (x + 1) P / 2 - (x + 1) ^ 6 / 4. (1) Let f (x, P) = (x + 1) P / 2 - (x + 1) ^ 6 / 4 ∵ f'x = P / 2-3 (x + 1) ^ 5 / 2, f'p = (x + 1) / 2 (f'x, f'p points



A rectangular piece of paper is 18 cm long and 15 cm wide. Now I want to cut it into a square. What is the maximum area of this square?


15 times 15, the answer is 225 square centimeters



There are three cylindrical decorative pillars of the same size at the gate of Ziwei primary school, each of which is 4 meters high, and the measured perimeter of the bottom surface is 1.57 meters?


1.57 times 4 times 3 and 5 equals 3.768



Fill in the arithmetic symbol quarter () quarter () quarter () quarter () quarter () quarter equals one eighth


Quarter (-) quarter (*) quarter (-) quarter (*) quarter equals one eighth



The relationship among continuous, differentiable, differentiable and partial derivatives (multivariate function)
RT``


It can be deduced that the partial derivative exists and the function is continuous, and vice versa
The continuous derivation of partial derivative function is differentiable, and vice versa
Differentiable must be continuous, but continuous is not necessarily differentiable
Differentiability and differentiability are equivalent
Note: to distinguish partial derivative function and function. (the function after derivation is called partial derivative function)



A cube is equal to the opposite number ()


0
Let this number be x, and the equation can be obtained
x*x*x+x=0
After extracting the common factor, it becomes x (x * x + 1) = 0
X * x + 1 is nonnegative
So x = 0~



4 5 8 11 how to get 24 with addition, subtraction, multiplication, division and a bracket?


8 ÷ 5 ×(4 + 11)=24