Is y = cosx an odd or even function

Is y = cosx an odd or even function

Even function

Is y = | x | cosx an odd or even function

Replacing x with - X has | - x | cos (- x) = | x | cosx
So it's an even function

It is known that the quadratic function f (x) satisfies: (1) the derivative at x = 1 is 0
(2) The image passes through the point (0, - 3), and the tangent at the point is parallel to the line 2x + y = 0
1. Find the analytic expression of F (x)
2. Prove that the function g (x) = f (x ^ 2) is a monotone decreasing function in the interval (- 1,0), (1, + positive infinity)

Because it's a quadratic function
So f '= 2aX + B x = 1 f' = 0 = 2A + B
When x = 0, f '= b = - 2. So a = 1
Because the image passes through the point (0, - 3), so C = - 3
So f (x) = x ^ 2-2bx-3

The best way is to write why~
1. The fruit shop brought in a batch of oranges, which accounted for 40% of the total sales on the first day, 140kg the next day, and the mass ratio of the rest to the sales was 1:3?
2. Rabbit a and rabbit B are in the 80 meter sprint race. Both rabbits keep moving at a constant speed. When rabbit a runs 40 meters, rabbit B has already run 50 meters. When rabbit B reaches the end, how many meters is rabbit a from the end?
3. The steamer sails downstream from a to B, 25km per hour, and from b back to a, 15km per hour, 6 hours in total
4. Xiao Hong read a story book. She read 1 / 7 of the first 5 days. How many days will it take for the rest to read at the same speed?
5. The parts factory plans to produce 12000 parts in 30 days, and actually produces 100 more parts per day than the original plan. How many days did it take to complete the task?
6. A project was originally planned to be completed by 35 people in 18 days, but now it is required to be completed three days in advance. How many people are needed to complete it?
Can we use proportion knowledge to solve question 4.5.6? Positive proportion or negative proportion;

If the total weight of oranges is 1.254.5kg, the total weight of oranges sold in two days is: 40% x + 140 = 0.4 + 140; the total weight of the remaining oranges is: (1-40%) x-140 = 0.6x-140; therefore, (0.6x-140) / (0.4x + 140) = 1 / 3, X = 254.5kg, 2.16m

Find the derivative of √ xsinx (√ 1-e ^ x)?
Note that the root at the back is not separated, the root at the back is in the root at the front, and your answer is different from the standard answer! But thank you for your reply!

That's your problem. The root should be in brackets
ln|y|=ln|√[xsinx√(1-e^x)]|=1/2*ln|xsinx√(1-e^x)|
=1/2*[ln|x|+ln|sinx|+1/2*ln|e^x-1|]
Derivation on both sides
y'/y=1/2*[1/x+cotx+e^x/(2e^x-2)]
So y '= Y1 / 2 * [1 / x + Cotx + e ^ X / (2e ^ X-2)]
y'=1/2*√[xsinx√(1-e^x)]*[1/x+cotx+e^x/(2e^x-2)]

Find the law, fill in, add and subtract within 6-10
6 = 4 + 2; 7 = 2 + 5; 8 = 1 + 7; 10 = 7 + 3; then 9 =?

Nice to answer for you, 9 = 3 + 6

Given that the solution of {ax + 3By = C, 2aX by = 5C is {x = 1, y = 2, find a + B of C

Substituting x = 1, y = 2 into
a+6b=c 2a-2b=5c
2a+12b=2c 5a-5b=12.5c
The sum of the two formulas: 7a + 7b = 14.5c
(a+b)/c=29/14

How many of the four digit numbers less than 2010 whose sum is equal to 26?

There are 1799 1889 1898 1979 1988 1997, a total of 6
I hope my answer will help you

(2010 the first mock exam in Tai'an) the asymptote equation of known hyperbolic x2a2 = y2b2 = 1 is y = 43x, and the hyperbolic centrifugal rate is ().
A. 53B. 213C. 54D. 72

∵ the center of the hyperbola is at the origin, and the focus is on the x-axis, ∵ let the equation of the hyperbola be x2a2 − y2b2 = 1, (a > 0, b > 0), then the asymptote equation of the hyperbola be y = ± Bax, and a asymptote equation of the hyperbola be y = 43x, then Ba = 43. Let B = 4T, a = 3T, then C = A2 + B2 = 5T (T > 0) ∵ the eccentricity of the hyperbola is e e = CA = 53

Add a plus sign or a minus sign between every two adjacent numbers of 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 to form an expression with the result of 37. Then the maximum product of these subtractions (numbers with minus sign added in front) is______ ．

10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 37.46-4-3-2 = 37, because 4 × 3 × 2 = 24, the maximum product is 24