Find the extremum of the function f (x) = x2-2einx

Find the extremum of the function f (x) = x2-2einx

The domain is (0, + ∝),
F '(x) = 2x-2e / x, Let f' (x) = 0, then x = √ e, - √ e (rounding)
It decreases on (0, √ E) and increases on (√ e, + ∝),
So take the minimum value of 0 at x = √ E

It is known that x = 3 is an extreme point of the function f (x) = AlN (1 + x) + x ^ 2-10x
And the monotone interval of function f (x)

F (x) = AlN (1 + x) + x ^ 2-10xf '(= A / (1 + x)) + 2x-10x = 3 is an extreme point F' (3) = A / 4 + 6-10 = 0A = 16 domain x > - 1F '(x) = 16 / (1 + x) + 2x-10 = (16 + 2x ^ 2 + 2x-10x-10) / (1 + x) = (2x ^ 2-8x + 6) / (1 + x) = 2 (x ^ 2-4x + 3) / (1 + x) f' (x) > 0 X3 increasing interval-1

Given the function f (x) = X3 + (1-A) x2-a (a + 2) x + 4 (1) when a = 2, find the extremum of function f (x)) (2) if the function f (x) is not monotone in the interval (2, + ∽), find the value range of real number a

f(x)=x3-x2-8x+4
So f '(x) = 3x2-2x-8
Let f '(x) = 0, that is, 3x2-2x-8 = 0
（x-2)(3x+4)=0
So x = 2 or x = - 4 / 3

If Mn is opposite to each other, then m plus (minus 5) plus n equals

m+(-5)+n
Because m and N are opposite numbers, M + n = 0. So the best result is - 5
I hope my answer can help you,

Three eighths of the radical minus three fourths of the bracket followed by two-thirds of the radical plus three sixths of the radical,

Three eighths minus three fourths plus one sixth
=1 / 4 radical 6 + 9 / 8 radical 6 + 1 / 6 radical 6
=37 / 24 root 6

The solution of the equation KX equal to 6 + 2x (k is a positive integer) of X is a positive integer. How many?

kx=6+2x
kx-2x=6
(k-2)x=6
x=6/(k-2)
When k = 3
x=6
When k = 4
x=3
When k = 5
x=2
When k = 8
x=1
4 in total
Hope to help you, if you have any questions, you can ask~~~
I wish you progress in your studies and make progress! (*^__ ^*)

-3 / 2 + 1 / 2 3x bracket - (- 1 / 3) / (- 1 / 4) bracket =?

-3 / 2 + 1 / 2 3x bracket - (- 1 / 3) / (- 1 / 4) bracket =?
-3/2+1+3/2*[-(-1/3)/(-1/4)]
=-3/2+1+3/2*[-(1/3)/(1/4)]
=-3/2+1+3/2*[-(1/3)*4]
=-3/2+1+3/2*(-4/3)
=-1/2-2
=-5/2

1+2+3… . 99 + 100 simple calculation

5050

1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 1 / 62 + 1 / 128 + 1 / 256, what's the rule

1/2+1/4=3/4
1/2+1/4+1/8=7/8
1/2+1/4+1/8+1/16=15/16
...
1/2+1/4+1/8+1/16+1/32+1/62+1/128+1/256=255/256

1. Factorize the polynomial 1-x ^ 2 + 2xy-y ^ 2 into 2. (a + b) (a-b) - (B + a)
Factorization of 3.2X ＾ 2-4xy + 2Y ＾ 2
4.　10＾5-5*10＾4+2*10＾3
5. Factorization of x ^ 2-y ^ 2-x + y

1、1-x²+2xy-y²
=1-（x²-2xy+y²）
=1-（x-y）²
=（1-x+y）（1+x-y）
2、（a+b）（a-b）-（b+a）
=（a+b）（a-b-1）
3、2x²-4xy+2y²
=2（x²-2xy+y²）
=2（x-y）²
4、10＾5-5*10＾4+2*10＾3
=10^3×(10²-5×10-2)
=1000×（100-52）
=1000×48
=48000