Let y = xsinx, find y‘

Let y = xsinx, find y‘

Derivative formula by multiplication
y'=x'*sinx+x*(sinx)'
=sinx+x*cosx.

How to find the derivative function and parity of F (x) = xsinx?

f'(x)=x'*sinx+x*(sinx)'=sinx+xcosx.
f(-x)=-x*sin(-x)=xsinx=f(x)
The domain of definition is r, so f (x) is even function

Are TaNx and Cotx odd or even?

TaNx is an odd function
Cotx is neither an odd function nor an even function

E ^ (x ^ 2) for indefinite integral

It's a bit of a problem to expand Taylor's formula, isn't it
Let's use the method of 2 times integration directly
Let's take e ^ (x ^ 2) * 1 as an integral by parts and get x * e ^ (x ^ 2) -∫ xde ^ (x ^ 2)
Then ∫ xde ^ (x ^ 2) is integrated once more, Xe ^ (x ^ 2) - ∫ e ^ (x ^ 2) DX & sup2;
Make your own final decision
Additional points!

Describe the English sentences in the classroom. (with translation) at least five sentences, the answer is good

This is my classroom.It is big and tidy.There are two doors,seven lights,a computer.Look ,some students are doing homework,some students are talking each other,some students are playing.And English: This is my classroom. It's big and tidy. There are two doors, seven lights and a computer, Some students are doing their homework, some are chatting with each other, some are playing. Our teacher is at her desk. I like my classroom

How many six digit numbers are there when the sum of your numbers equals 52

There are 21 such numbers in total. This problem is very simple. In fact, it's a permutation and combination problem in senior high school mathematics. I'm going to say it in a simple way: the first step is to determine which numbers these six numbers are. If six numbers add up to 52, there are only two cases: five nines and one seven add; four nines and two eights add. In addition, there are no more six digits

The area formula of parallelogram is______ ．

The area of parallelogram = base × height, so the answer is: the area of parallelogram = base × height

Given the function FX = ax ^ 2 + BX + 1, FX = {FX, x > 0 - (FX), X

The title seems to be wrong, should be changed to "and the value range of FX is [0, positive infinity)
f（-1）=0
Substituting FX, A-B + 1 = 0
The value range is [0, positive infinity]
It shows that the opening of the function image is upward, and there is an intersection point with the X axis
That is, B ^ 2-4a = 0
The solution is a = 1, B = 2
fx=x^2+2x+1=(x+1)^2
F(x)=(x+1)^2 ,(x>0)
=-(x+1)^2,(x

FN = (2 ^ 2 ^ n) + 1 for any nonnegative intcger n
a certain company has found that the number of labor hours required to produce x items is directly proportional to the square root of x.if 3 labor hours are required to produce 20 items.how many labor hours are required to produce 40 items

When n is a nonnegative integer which means n ≥ 0,2 ^ n ≥ 1suppose 2 ^ n = a, when a ≥ 1,2 ^ a ≥ 2fn = (2 ^ 2 ^ n) + 1 ≥ 2 + 1 = 3, thus, FN ≥ 32. H = a radical, xWhen 3 = a radical, 20, a = 3 radical, 5 / 10, when x = 40, H = 3 radical, 5 / 10 × radical, 40 = 3 radical, 2

Help solve a geometry problem
The perimeter of triangle ABC is 22cm, the length of side AB is 1.5 times that of side AC, and the length of side BC is 1cm longer than that of side AC. what are the three sides of triangle ABC?
Can you be more specific? I'm a rookie.

Let: AC = x AB = 1.5x BC = x + 1
1.5X+X+(X+1)=22
X=6
So AC = 6 AB = 9 BC = 7