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

Hey ! Can anyone help me with this question please ? Thank you

Answers

it’s parallel and you have to set both equal to each other so therefore it will be x=10

Answer:

x=10 since 8x+10 and 6x+30 are equal just equate

2/7 + 4/5 mixed forms

Answers

Answer:

38/35 or 1 3/35

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

Samantha spent 40 minutes on homework sixty percent of that time was spent on language arts how many minutes were spent in language art

Answers

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

9x-5
14x+24 A

Determine the value of x.

A) x = 32.2
B) x = -5.8
C) x = -7
D) x = 7​

Answers

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

hurry fast ill give brainlyist\
9+10

Answers

Answer:

19 Your welcome have a good day

Graph the linear function:
r(x)=2

Answers

i dont know

[tex] = 3 \sqrt[5]{3} [/tex]

12.5 miles per hour to meters per second
What would it be if you change 12.5 miles per hour to meters per second?

Answers

Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

I need help I don’t understand

Answers

Answer: not much help i can barley see the paper

Step-by-step explanation:

Jaden runs in a circle at constant speed
Radius is 30m. Time is 90s. What is the speed?

Answers

Answer:

hope i helped...if anythng not understood please write in the comments

Use the distributive property to write an equivalent expression to -4(p+ 4) that
has no grouping symbols.
please help

Answers

Answer:

-4p-16

Step-by-step explanation:

Someone please help on this problem

Answers

Answer:

b

Step-by-step explanation:

What is the slope-intercept form for 3x-y=9

Answers

The attached picture is the answer. Hope it helps!!!

3x-y=9
move 3x over
-y= -3x+9
divide both sides by -1 to make y positive
your answer should be y=3x-9

A grocery store offers a cheese and fruit sampler that combines cheddar cheese that costs $8 per kilogram with kiwis that cost $3 per kilogram. How many kilograms of each were used to make a 5 kg mixture that costs $4.50 per kilogram?

Answers

Answer:

I have 1000$ i wanna buy it

Step-by-step explanation:

Answer is 2.1 kg and 2.9 kg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Given that,

Amount of cheese = $8 per kg

Amount of kiwis = $ 3 per kg

Assume

X = quantity of chees

Y = quantity of kiwi

According to the given information,

X + Y = 5  ...(i)

8X + 3Y = (5)4.50    ....(ii)

From (ii) = 3x(i),

5x = 10.5

 x = 2.1 kg

Now put the value of x into (i),

y = 2.9 kg

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Given: 3x < 3. Choose the solution set. {x | x < 1} {x | x > 0} {x | x < 0} {x | x > 1}

Answers

9514 1404 393

Answer:

  (a)  {x | x < 1}

Step-by-step explanation:

Given ...

  3x < 3

You can find the solution by dividing both sides by 3:

  (3x)/3 < 3/3

  x < 1

Written in your given notation, this is ...

  {x | x < 1}

You and three friends go to the local fair. You each buy a $3 food ticket and a stamp for unlimited rides. If the total cost for the four of you is $32, how much does the stamp for unlimited rides cost?

Answers

Answer:

5$ for a stamp

Step-by-step explanation: First calculate the TOTAL amount of money spent on the food tickets. 4 friends, 3$ each for a ticket = 12$. Total cost is 32$ so do 32$-12$ to find how much else you paid after the 12$ on food ticket which is 20$. Divide the reamaining money (20$) by 4 because of the four friends. Than there is the price for the unlimited ride stamp 5$. Think of it like this. x+12=32.    x=20,         x/4=20/4     x=5$. Let me know if im wrong

a + 0 = a

Choose the property of real numbers that justifies the equation

Answers

not sure but: If a is a real number, then a + 0 = a and 0 + a = a OR If a is a real number, then a ⋅ 1 = a and 1 ⋅ a = a

A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she dropped 23.5 feet how many feet has she been below sea level if she was 89.2 feet below sea level after she dropped

Answers

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

Estimate to decide if the sum of 314+175 is more or less than 600?

Answers

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

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[tex]GraceRosalia[/tex]

How much money will be in an account at the end of 6 years if ​$8000 is deposited at ​7% interest compounded 2 times per​ year? Assume no deposits or withdrawals are made. HELPPPPPPPPPPPP

Answers

Answer:

$12,088.55

Step-by-step explanation:

$8000(1+(0.07/2))^(2*6)

$8000(1.035)^(2*6)

$8000(1.51106865)

$12088.5492 - exact

$12088.55 - real

please try to help answer and explain pls

Answers

Answer:

B

Step-by-step explanation

TIENES QUE SIEMPRE FIJARTE EL DE ABAJO Y DESPUES EL DE ARRIBA

EN PLAN LA LINEA QUE PASA POR EL EJE

Find the volume of this
prism.

Answers

32 is the volume of the prism count up and you’ll figure it out

Answer:

Volume of the prism =area of base*height

=[3*3+3*6]*9

=243 cm³

Alternate

Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³

robby raises holstein and jersey cows on his farm in the ratio of 7:5 if he has a total of 48 cows on his farm how many holstein cows does he own?

Answers

Answer:

28

Step-by-step explanation:

The total amount of cows is 48 and is split into 12 groups (7+5).

So 1 group is 48÷12=4

1 group=4

He owns 7 groups of Holstein cows.

So if 1 group is 4, 7 groups is 7x4=28.

28

The number of Holstein cows, if The ratio of Holstein and jersey cows is 7:5, and the Total number of cows is  48, is 28.

What is ratio?

It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3. If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios.

Given:

The ratio of Holstein and jersey cows is 7:5,

Total number of cows = 48

Calculate the values as shown below,

Assume the number of Holstein cows is 7x

7x + 5x = 48

12x = 48

x = 4

Thus, the number of Holstein cows is 7 × 4 = 28

To know more about Ratios:

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I’m struggling someone please help me!!

Answers

Answer:

A one real root

Step-by-step explanation:

if not I'm sorry if I get it wrong

I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?

Answers

Answer:

yes your correct

Step-by-step explanation:

URGENT JUST THE FIRST QUESTION

Answers

Step-by-step explanation:

gradient=3/3=1

that is the answer

A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.

Answers

Answer:25

Step-by-step explanation:

350 / 14 =25

Write the equation of a line that
goes through the points (3,7) and
(-3,5).

Answers

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

$21
a
Hannah works for a regular hourly rate of
Last week she worked a total of 50 hours.
Overtime is paid for any hours worked above 40 hours.
The overtime rate is 1.5 times the regular rate.
Federal tax withholding is 12%
State tax withholding is 5%
FICA withholding is 7.5%
Also, Hannah pays $100 per week for medical insurance.
Calculate Hannah's Net Pay.
You must show all work.

Answers

Answer:

522.87

Step-by-step explanation:

15*40=600

22.5*10=225

825*24.5%=202.13

825-100-202.13=522.87

8/t + t^2; t=4 please help me

Answers

Answer:

8/t + t^2 = 18

Step-by-step explanation:

8/t + t^2

t = 4

8/4 + 4^2

2 + 16 = 18

8/t + t^2 = 18

Which of the following is the graph of f(x) = -0.5|x + 31 -2?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please!!!!

Answers

Answer: The graph is attached.

I suggest you use Desmos Graphing Calculator it helps me out so much!

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