Find the derivative of this function: F (x) = √ (4-x & # 178;)

Find the derivative of this function: F (x) = √ (4-x & # 178;)

The least common multiple of two natural numbers is 20000, and one of them has 12 divisors and the other has 20 divisors. What is the difference between the two numbers?
The divisor of 20000 = 2 ^ 5 * 5 ^ 420000 is (5 + 1) * (4 + 1) = 30
Two natural numbers, one of which has 12 divisors and the other has 20 divisors
One is: 2 ^ 5 * 5 = 160 (12 divisors)
The other is: 5 ^ 4 * 2 ^ 3 = 5000 (20 divisors)
The difference between the two numbers is 5000-160 = 4840
20000 to expand the divisor~
20000 = 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5, a total of 5 2, 4 5 multiplication.
There are 6 * 5 = 30 divisors in 20000.
Since number a has 12 divisors and number B has 20 divisors, it can be concluded from the analysis that in order to ensure that 20000 is their minimum common divisor, number a and number B must be at least a multiple of the 5th power of 2 and a multiple of the 4th power of 5 respectively.
Then, if the number of a is a multiple of 6, it should be a multiple of 2 to the fifth power,
... unfold
20000 to expand the divisor~
A total of 20000 * 2 * 5 * 5, 2 * 5 * 5 * 5.
There are 6 * 5 = 30 divisors in 20000.
Since number a has 12 divisors and number B has 20 divisors, it can be concluded from the analysis that in order to ensure that 20000 is their minimum common divisor, number a and number B must be at least a multiple of the 5th power of 2 and a multiple of the 4th power of 5 respectively.
Then, if the number of a is a multiple of 6, it should be a multiple of 2 to the fifth power,
That is, a = 2 * 2 * 2 * 2 * 5 = 160
Similarly, we can see that B = 5 * 5 * 5 * 5 * 2 * 2 = 5000
So, the difference between the two numbers is 4840
How to judge whether there is extremum in mathematical derivative, and the derivative of original function is quadratic function, f '(x) = 0 has
How to judge whether there is an extremum in the mathematical derivative, and the derivative of the original function is a quadratic function, f '(x) = 0 has two solutions, how to judge the extremum?
First, calculate the corresponding x value according to the derivative equal to 0, and then take a value on the left and right of the calculated value and substitute it into the analytical formula of the derivative to judge whether the derivative value is positive and negative. If so, it means that the point is an extreme point, otherwise it is not an extreme point
The derivative is a quadratic function, and the derivative is equal to 0. If two X values are obtained, take one value on the left and right of X respectively, and judge whether it is an extreme point according to the sign of the derivative
Second derivative
Let's make a list
What is the least common multiple of a number? What are the divisors of a number?
I have no number of myself
Pro, a number is not a common multiple, at least 2,. A number has multiples
The least common multiple of a number is not right. At least there is a least common multiple between two numbers. The divisor of a number depends on the number. For example, the factor of 12 has 1 23 4 6 12, while the factor of 24 has 1 23 4 6 8 12 24
The extremum of y = 6x ^ 2-x-2 is determined by derivative method
Y '= 12x-1, let y' = 0, x = 1 / 12
When x0, it increases at (1 / 12);
So f (x) has a minimum at x = 1 / 12, f (1 / 12) = - 49 / 24
The greatest common divisor and the least common multiple of 32 and 54
4. The greatest common divisor and the least common multiple of 5 and 8
The greatest common divisor and the least common multiple of 51 and 17
15. The greatest common divisor and the least common multiple of 30 and 60
The greatest common divisor and the least common multiple of 24 and 32
14. The greatest common divisor and the least common multiple of 28 and 42
The greatest common divisor and the least common multiple of 32 and 54 2864
4. The greatest common divisor and the least common multiple 1,40 of 5 and 8
The greatest common divisor and the least common multiple of 51,17
15. The greatest common divisor and the least common multiple of 30,60 15,60
The greatest common divisor and the least common multiple of 24 and 32 8,96
14. The greatest common divisor and the least common multiple of 28 and 42
2,864/1,40/17,51/15,60/14,42/
Given that the derivative of a function is y '= x * x + 5x and Y (0) = 0, find y =?
According to the condition, the original function is y = 1 / 3x & # 179; + 5 / 2x & # 178; + C (constant)
Because y (0) = 0, so C = 0
So y = 1 / 3x & # 179; + 5 / 2x & # 178
The greatest common divisor of 4 and 28 is______ The least common multiple is______ .
Because 28 △ 4 = 7, that is, 28 and 4 are multiples, then the greatest common factor of 4 and 28 is 4, and the least common multiple is 28; so the answer is: 4 & nbsp; & nbsp; & nbsp; 28
The second derivative of y = 8x ^ 6 + 5x ^ 4 + 3x + 9
Use the formula: (x Λ n) '= n * x ^ (n-1), then the reciprocal of the first order is: y' = 48x ^ 5 20x ^ 3, and then find the derivative again: y '= 240x ^ 4 60x ^ 2, just remember the formula (^_ ^
What are the least common multiple and greatest common divisor of 24, 20 and 36?
24=2X2X2X3
20=2X2X5
36=2X2X3X3
It can be seen that the greatest common divisor is 2x2 = 4
LCM = 2x2x2x3x5 = 360