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

Find the slope of the line that passes through the pair of points. (0,1) (2,5)

Answers

Answer:

the slope of line is 2

Step-by-step explanation:

here

x1=0 & y1=1

x2=2 & y2=5

we know that .

the slope of line = y2-y1 / x2-x1

=5-1/2-0

=4/2

=2

Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

Answers

9514 1404 393

Answer:

y -195 = 15(x -9)$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

The height of a building is 1383 feet. How long would it take for an object to fall from the top?

Answers

Answer:hope this helps

Step-by-step explanation:

thanksssssssssssssssssssssssss!

Answers

Answer:

yorrrrrrrrr wwwweeeeeeellllllllccccccccooooooommmmmmmmmeeeeeeeeeeee

Step-by-step explanation:

tyyg m8

Noooooooooooo pppppproblem

Pls help the options are 3 1/2

3 3/4


2 1/2


2

Answers

2 is the correct answer, when you see a negative think of it like subtracting from the other number
The correct answer to this equation is 2.

Adu has a rectangular field. it is 85m long and 25m wide . How long is the fence round the field?​

Answers

Answer:

220m

Step-by-step explanation:

you only need to find the perimeter,

add the lengths of the rectangle's four sides

85+25+85+25=

220m

The value of an asset, currently priced at $100 000, is expected to increase by 20% a
year.
(a) Find its value in 10 years’ time.
(b) After how many years will it be worth $1 million?

Answers

Answer:

A) it will become 300,000 in the next 10 years.

What is the value of each digit in 28.6597

Answers

Answer: 200000

               800000

                  6000

                     500

                        90

                           7

Step-by-step explanation:

Simplify 10/16 to lowest terms and find and equivalent fraction that has a denominator of 32

Answers

The lowest fraction for 10/16 is 5/8
and for the equivalent fraction with a denominator for 32 is 20/32

The lowest terms of fraction are, 5/8

And, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

We have to given that,

To simplify fraction 10/16 to lowest terms and equivalent fraction that has a denominator of 32.

We have,

⇒ 10 / 16

⇒ 10 ÷ 2 / 16 ÷ 2

⇒ 5 / 8

Therefore, The lowest terms of fraction are, 5/8

And, Let the numerator of the fraction with denominator 32 is, x

Hence, It can be written as,

⇒ x / 32

Equivalent to 10/16,

⇒ 10/16 = x/32

⇒ 32 x 10 = 16x

⇒ 320 = 16x

⇒ x = 20

Therefore, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?

Answers: (this one is for what it was multiplied by)


A) 0.01
B) 0.1
C) 1
D) 10

Answers to the question:

E) 0.005
F) 0.05
G)0.5
H)5

Answers

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

10 of the hundredth squares are colored red, so that multiplier is ...

  10/100 = 0.10 = 0.1 . . . choice B

__

5 of the hundredth squares are colored both red and green, so that product is ...

  5/100 = 0.05 . . . choice F

Hi! ❤️ there looking for help on this giving brainliest if able to.

Answers

Answer:

true......................

The first two should be true and the second two should be false. I am sorry if I am incorrect but I am almost positive that is correct.

Hope this helps :)

An object is moving at a speed of 6 inches every 4.5 days. express this speed in yards per year

Answers

Answer:

365/27 yards per year

Step-by-step explanation:

[tex]\frac{6 inches}{4.5 days}[/tex] × [tex]\frac{1 yard}{36 inches}[/tex] ×[tex]\frac{365 days}{1 year}[/tex] = [tex]\frac{(6(365)) yards}{(4.5(36)) year}[/tex] = [tex]\frac{2190 yards}{162 years}[/tex]= 365/27 yards per year

……………..??????????????

Answers

That’s a tricky stem and leaf plot, Anw as the key shows 11|6 =16

So the most common arm span is 12 the least commons are 11,17,19,22 which appear only one time. So I’d say there are no outliers

please answer both thank you

Answers

Answer: 3/4 are eqivelent to 6/8

Step-by-step explanation:


A. figure P
B. figure R
C. figure S
D. figure G

Answers

Answer:

D. figure G

Step-by-step explanation:

What is the value of x if...
9x - 4 - 4x = 8 + 3x

Answers

Hello!

Answer:

x=6

Step-by-step explanation:

Hope this helps!

Find the product of the following numbers. 72,010 72,020 72,120

Answers

Answer:

which product you wanna to find henry ❤

Step-by-step explanation:

I don't think

jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.

48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200

Answers

19,200
Yes it’s correct

Answer:

A is the correct answer..

i got this correct on my test

What is the quotient in the simplest form ? 3/5 divided by 2/7

Answers

The quotient in the simplest form is 21/10

How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?

Answers

When you’re multiply numbers with exponent you add the exponents

Alyssa has 9 markers and 24 pencils what is the most numbers of kits she can make of each kit has the same number of items?

Answers

9 since she only has 9 markers

What is the domain and range of the function
graphed below?

Answers

A
this is because it is not infinite since there are not arrows and domain is all the possible c values while range is all the possible y values. Therefore when analyzing the graph we can see it starts at x=2 and ends at x=10 which is the domain. we can also see the lowest y value is 1 while the highest is 3 which is the range :)

Find the area of the figure. (Sides meet at right angles.) 3 cm 3 cm # cm и cm 9 cm 4 cm 9 cm 10 cm​

Answers

Answer:

114cm²

Step-by-step explanation:

divide the 'room' into equal boxes..

3cm×4cm= 12cm²

3cm×4cm=12cm²

9cm×10cm=90cm²

12cm+12cm+90cm= 114cm²

total area is 114cm²

A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is units because translations length.

The first box is 20 and the second box is preserve

Answers

Answer:

A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.

1. Find the missing lengths of the sides.

Answers

Answer:

3rd option is correct.

Step-by-step explanation:

The diagonal length of a square is [tex]\sqrt{2}[/tex] times the side lengths of the square. Squares have 90 degree angles, so we know that this triangle is half a square, making both side lengths 12.

Need help fast please. Need help please.

Answers

A.
That’s the answer

How to find the frequency for temperature in Fahrenheit

Answers

Answer:

Step-by-step explain

if you where in your house say that your house is set to 72F and you want to find out the Fahrenheit you take the 2 in 72 and multiply it by 3 so in that case it would be 6 then you take the 7 and subtract 1 which makes it 6 So the Fahrenheit is 66.

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Answers

Answer:

12 Super Giant Pizzas

Step-by-step explanation:

36 ÷ 3 = 12

Answer:

Step-by-step explanation:

You will need to get 12 pizzas

Explanation:36÷3=12

An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one

Answers

One more point. 6(1)-2(-1/2) = 5. 6(1)-4(-1/2) = 4

A $1.200 television is on sale for 30% off. what will be the total price of the television?

Answers

Answer:

the total price of the TV is $840.

Step-by-step explanation:

100% - 30% = 70%

I'm guessing you meant 1,200 not 1.20 (lol) so I'm just going to go with that.

1,200 * 0.70 = 840

Therefore the total price of the TV is $840.

Please mark brainliest and have a nice day!

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