Y = f (sin ^ 2 (3x)),

Y = f (sin ^ 2 (3x)),

analysis
sin²3x'=2sin3xsin3x'
=6sin3xcos3x
6sin3xcos3x'=18cos²3x-18sin²3x
So the second derivative 18 (COS & # 178; 3x Sin & # 178; 3x) f (Sin & # 178; 3x)

Simple operation of 11 / 8 minus (4 / 5 minus 5 / 8) minus 1 / 5

11 / 8 minus (4 / 5 minus 5 / 8) minus 1 / 5
= 11/8 - 4/5 + 5/8 - 1/5
= 11/8 + 5/8 - (4/5 +1/5)
= 2 - 1
=1
[Qiufeng Yanyan answers for you, definitely right]
If you don't understand, you can continue to ask this question
Please select it as a satisfactory answer in time,

What is the sum of the reciprocal of one and two-thirds plus 1.25 divided by one-third

One and two thirds is 5 / 3, the reciprocal is 3 / 5; 1.25 is 5 / 4, 1.25 is divided by one third, 1 / 3 △ 5 / 4 = 4 / 15
1/（1+2/3）+1/3÷5/4
=3/5+4/15
=13/15

875 =?

7 / 8 + 4 / 7-0.875
=7 / 8 + 4 / 7-7 / 8
=(7 / 8-7 / 8) × 4 / 7
=0 + 4 / 7
=4 out of 7

A simple method for the determination of 99 × 57

99x57
=(100-1)x57
=5700-57
=5643

In 1 to 100, what is the sum of all natural numbers with only three divisors

2²+3²+5²+7²=4+9+25+49=87
Reason: if there are only three divisors, then this number must be the square of a prime number. Within 100, the square of a prime number has the square of 2, the square of 3, the square of 5 and the square of 7
SO 2 & # 178; + 3 & # 178; + 5 & # 178; + 7 & # 178; = 4 + 9 + 25 + 49 = 87

(x ^ 2-3x + 1) (x ^ 2 + 3x + 2) (x ^ 2-9x + 20) = - 30 to find x

(x-3x-3x + 1) (x + 3x + 3 + x-3x + 2) (x-9x + 2) (x-9x-9x + 20) (x-3x + 3) (x-3xx + 2) (x-3xx + 2) (x-3xx + 2) (x-3xx + 3 + 2) (x-3x + 2) (x-3x + 2) (x-3xx + 3x + 2) (x-3x + 2) (x-9x-9x + 20) (x-3x + 20) (x-3x + 1) (x + 1) (x + 1) (x + 1) (x + X + 1) (x-3x + 1) (x + 1) (x + 1) (x-3x + 1) (x-3x-3x-3x-3x-3x-3x-3x-3 + 2) (x-3x-3x-3x-3x-3x-3x-3x-3x-3x-3x-3x-3x-3x- √ 30 = 0 x = [3 ± √ (29 + 4 √ 30)] / 2 = [3 ± √ (√ 24 + √ 5)] / 2 = [3 ± (2 √ 6 + √ 5)] / 2 when t = - √ 30, X-3x-5 + √ 30 = 0, x = [3 ± √ (29-4 √ 30)] / 2 = [3 ± (2 √ 6 - √ 5)] / 2 to sum up, x = (3 ± √ 29) / 2 or [3 ± (2 √ 6 ± √ 5)] / 2

Calculate 49 + 48 + 47 + 46 + 45 + 44 + 43 +2 + 1 = several

49 and 1 combination is equal to 50, 48 and 2 combination is equal to 50, 47 and 3 combination is equal to 50. Additive distribution law, how many groups are there up to 25 and 25 combination? After counting 24 groups, you will find that there is only one 25, and there is no other 25 combination with him, so 50 times 24 + 25 = 1225

Given that {an} is an increasing sequence and an = n ^ 2 + λ n holds for any n ∈ n *, (1) then the value range of real number λ is λ > - 3 (2) for the value of λ in (1)
, is there a maximum or minimum term in the sequence? If so, find the value of the maximum or minimum term? If not, please explain the reason

Increasing sequence, so f (x) = x ^ 2 + λ x f (x + 1) - f (x) > 0, X ∈ n*
Since g (x) = 2x + 1 + λ increases monotonically, G (x) min = g (1) = 3 + λ
That is 3 + λ > 0, the solution is λ > - 3
Because the sequence increases monotonically, the minimum term is A1
a1=1+λ
For the Lich King

The sum of a, B, quotient and remainder is 179. How much is a and B? Don't give the equation,

179-2-3 = 174
(174-2) / (3 + 1) = 172 / 4 = 43
174-43 = 131
The number a is 131 and the number B is 43