What is the derivative of (x + 1) sin x?

Answers

Answer 1

[tex]\boxed{\sf \dfrac{d}{dx}x^n=nx^{n-1}}[/tex]

[tex]\boxed{\sf \dfrac{d}{dx}sinx=cosx}[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{d}{dx}(x+1)sinx[/tex]

[tex]\\ \sf\longmapsto 1+cosx[/tex]

Answer 2

sin x + x · cos x + cos x

Step-by-step explanation:

(x + 1) = u → u' = 1sin x = v → v' = cos x

f(x) = u · v → f'(x) = u' · v + u · v'

f(x) = (x + 1) sin x

f'(x) = 1 · sin x + (x + 1) · cos x

f'(x) = sin x + x · cos x + cos x


Related Questions

The temperature never rose above 6 °F on Friday. Which number line could represent this situation?
A
+
0 1
+
2.
+
3
w==
+
4 5 6 7 8 9 10
B
0 1 2 3
4 5 6 7 8 9 10
C

+
0 1 2 3 4 5 6 7 8 9
10
D
+
0 1 2
+m
+
4 5 6 7 8
+
9
10

Answers

Answer:

b

Step-by-step explanation:

Alexandra owns a small business selling bagels. She knows that in the last week 95 customers paid cash, 4 customers used a debit card, and 31 customers used a credit card.
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.

Answers

last week

(dc: debit card & cc: credit card)

# of customers paid cash: 95
# of customers paid with dc: 4
# of customers paid with cc: 31

95+4+31= 130

Something other than a cc, meaning we sum the values of the # of customers who paid cash or dc.

= 99

Answer: 99/130

Please help due in 5 min.

Answers

Answer:

1

Step-by-step explanation:

3×60=180

180÷45=4

4-3=1

gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons

Answers

Answer:

12 gallons

Step-by-step explanation:

attachment
look at it

Answers

Answer:

The first one 4(m-5)

Step-by-step explanation: 4 goes into M turning into 4m. Then 4 goes into 5 turning into 20 which is  4m-20

Number 1 4(m-5) i did that in 7th

Just solve this for my friend, can u

Simplyfy 192/-168​

Answers

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3

Whats the slope of (-1,5) and (-2,-4)

Answers

Answer:

m=9

Step-by-step explanation:

Find the sector area.

Answers

Answer:

D

Step-by-step explanation:

I think the awnser for this should be d

Which of the following triangles can be proven similar through AA?

Answers

Its a
Hope it helps

The circular opening of a tunnel
has a circumference of 42
meters. Which equation can be
used to find d, the diameter of
the tunnel opening?

Answers

Answer:

2(21/pi)=d

Step-by-step explanation:

The formula for a circumference is C=2(pi)(r) in this case we know our circumference is 42 meters so 42=2(pi)(r), we must leave our radius by itself so we divide by 2 to get 21=pi(r) we then also divide by pi which will get us 21/pi=r and we know that the diameter is double of the radius so we just double which will then be 2(21/pi)=d

Nathan Drives a motorcycle that travels 166.5 miles on a 4.5 gallon tank. What is the unit rate in miles per gallon.

Answers

Answer:

37 miles per gallon

Step-by-step explanation:

Ratios:

[tex]\frac{166.5}{4.5} =\frac{x}{1} \\\\4.5x=166.5\\x=37[/tex]

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Believe it’s 150/15 or 50/1 :>


What is the surface area?
5 yards
5 yards
5 yards ​

Answers

Answer:

150 yards^2

Step-by-step explanation:

If all lengths are equal (assuming that the question refers to 5 yds x 5 yds x 5 yds) that means that it is a cube.

A cube has 6 faces and each face is 25 yds^2 (because of the 5 x 5 lenght sides)

If you multiply 25 by 6 (the amount of faces) you would get 150 yds^2

Answer:

usbdkhfjdnbdjdkfdbdbdnkccndndkckcjd. endkcn

Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?

Answers

I believe each side of the fence would be 105 ft
the area of the pen would be 11,025

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

Solve each inequality. Then check each number that is a solution

I Don't know how to solve this. as nothing has helped so far.

Answers

Answer:

3, 6, 4, 5

Step-by-step explanation:

First of all we have to multiply 2 by 2x and -9 and we obtain

4x -18 ≤ 6

now we have to move -18 on the right side of the minor or equal and change its sign

4x ≤ 6 + 18

now we have to added up 6 and 18

4x ≤ 24

At least we have to divide the the two members by 4

x ≤ 6

We have to find the numbers ≤ 6

so the answer is : 3, 6, 4, 5

Answer:

click on 3,6,4,5 are less than or equal to 6

Step-by-step explanation:

2(2×3-9)= -6

2(2×6-9)= 6

2(2×4-9)= -2

2(2×5-9)= 2

2(2×7-9)= 10

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

PLEASE SOLVE THIS! I will give you brainliest.

Answers

Answer:

657in squared

Step-by-step explanation:

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a
total of 650 mg of sodium. Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium. How much sodium is
in 1 oz of chips and how much is in 1 cup of soda?

Answers

Answer:

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

[tex]5x + y = 650[/tex]

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

[tex]x + 5y = 250[/tex]

From the first equation:

[tex]y = 650 - 5x[/tex]

Replacing in the second

[tex]x + 5(650 - 5x) = 250[/tex]

[tex]x + 3250 - 25x = 250[/tex]

[tex]25x = 3000[/tex]

[tex]x = \frac{3000}{25}[/tex]

[tex]x = 120[/tex]

[tex]y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50[/tex]

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

after adding 45% to a number we get 507.5 what was the number?​

Answers

Answer:

The number is   x = 507.05

Step-by-step explanation:

Step(i):-

Let 'x ' be the number

Given that adding 45% to a number and we get  507.5

Now, it can be written as

                   x + 45% = 507.5

Step(ii):-

The equation  

                  x + 0.45 = 507.5

subtracting '0.45' on both sides, we get

                 x = 507.5 - 0.45

                x = 507.05

Final answer:-

The number is   x = 507.05

Which of these nets will not form closed cubes?
Please help me

Answers

Answer:

From left to right: 1, 6, and 7

Step-by-step explanation:

Answer:

The first, sixth, and seventh.

Step-by-step explanation:

Pls awnser I will give brainliest

Answers

9514 1404 393

Answer:

  C.  22/7

Step-by-step explanation:

You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.

__

In case you actually want to carry out the calculations, you have ...

  C = πd

  π = C/d

  π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7

  π ≈ 77/(24 1/2) = 77/(49/2) = 22/7

  π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7

  π ≈ 99/(31 1/2) = 99/(63/2) = 22/7

is 2 a solution to 2x+3<2 ?

Answers

Answer:

no

Step-by-step explanation:

2(2) + 3 < 2  is a False statement; therefore, 2 is not a solution

Zac collected 4 pounds of aluminum cans. Eduardo collected 7/8 as many pounds as Zac. How many pounds of aluminum cans did Eduardo collect? *

Answers

Answer:

Eduardo collected 0.875 pounds can

Step-by-step explanation:

have a nice day dear

ENTERTAINMENT For Exercises 19 and 20, use the following information.
Fairfield High spent d dollars for refreshments, decorations, and advertising for a dance. In
addition, they hired a band for $550.
19. Write an expression that represents the cost of the band as a
fraction of the total amount spent for the school dance.
20. If d is $1650, what percent of the budget did the band account for?

Answers

Answer:

D + 550 = X

The band accounted for 25% of the budget.

Step-by-step explanation:

Since Fairfield High spent D dollars for refreshments, decorations, and advertising for a dance, and in addition, they hired a band for $ 550, to write an expression that represents the cost of the band as a fraction of the total amount spent for the school dance and determine, if D is $ 1650, what percent of the budget did the band account for, the following calculations must be performed:

D + 550 = X

D = 1650

1650 + 550 = X

2200 = X

2200 = 100

550 = X

550 x 100/2200 = X

55,000 / 2,200 = X

25 = X

Therefore, the band accounted for 25% of the budget.

Edgar and his 4 friends want to share the cost of a meal equally. They order
3 large pizzas and 5 small drinks. If they leave a tip of $8.10, how much does
each person pay?

Answers

Answer:

Each person pays $9.72

Step-by-step explanation:

Add up the cost of the large pizzas, small drinks, and the tip, then divide by 5.

Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).​

Answers

Answer:

603.71

Step-by-step explanation:

Use a function to solve this.

F(x)

Now lets put in the data for the function.

We have 910, which is the orginal number. This should be the first number, and will have to be multiplyied by the other numbers in the function to find the answer. I think of all these numbers like the things in a penut butter and jelly sandwhich, is sounds very nice since I am hungry.

F(x) = 910 *

Next, we have 5%, which is what we are taking from 910. So, we can think of this as 910 being multiplyied by 0.95. Lets add this to our growing penut butter and jelly sandwhich. The reason I put this into a parenthese is so that the 910

F(x) = 910 * (0.95)

Now for the last step, we must add in the years. So, eahc year we reduce the 910 by 5%, and we need to do this 8 years This means that the 910 times 0.95 must repeat 8 times. To do this, we need ot use exponent. This exponent is 8. So, here is our completed function:

F(x) = 910 * (0.95^8)

Lets plug this into a calculator, since doing this out on paper would be a real pain and will take far to long. I would probably die of hunger and never get a penut butter and jelly sandwhich if I did this out on paper.

In the end, you should get 603.7125 blah blah blah it goes on for a long time. I attached a file of what it looks like in the calculator if you want some evidence.

Oh, you said you want it rounded to the nearest whole number. Well, lets remember our rounding here. Anything below 5 goes down, anything 5 and higher goes up. Since we have 603.7125, we can round that too 603.71

Answer:

603.71

Ti⊂k∫∈s ω∅∅p

Im gonna go grab my PBJ now.

What is the solution to 9 x 9?

Answers

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Sandy picked 9 pounds of tomatoes. She wants to share the tomatoes equally among 4 of her neighbors. How many pounds of tomatoes will each neighbor get?

this is a not a part of the question 7

Answers

Answer:

2.25

9÷4

Step-by-step explanation:

1. What is –6 9/16 written as a decimal?
A -6.625
B -6.5625
C -6.4375
D-6.125

Answers

Answer:

B) -6.5625

9/16 is equal to 0.5625

Answer:

-6.5625

Step-by-step explanation:

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