Use the Quotient Rule to find the UNSIMPLIFIED version of the derivative. R(w)=3w+w^4/ 2w^2+1.
Pls show work!!!

Answers

Answer 1

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²


Related Questions

Complete the proof. help me answer this please!!

Answers

Answer:

2. Definition of supplementary angles

3. [tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]

4. [tex]\angle 2 = \angle 3[/tex]

5. Definition of congruent angles

Step-by-step explanation:

Required

Fill in the gaps

1. Given

Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 3[/tex]

2. Supplementary angles add up to 180.

So:

[tex]\angle 1 + \angle 2 = 180[/tex]

[tex]\angle 1 + \angle 3 = 180[/tex]

3. Apply transitive property on (2)

[tex]\angle 1 + \angle 2 = 180[/tex] and [tex]\angle 1 + \angle 3 = 180[/tex], then

[tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]

4. Subtract [tex]\angle 1[/tex] from both sides

[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 + \angle 3 - \angle 1[/tex]

[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 - \angle 1+ \angle 3[/tex]

[tex]\angle 2 = \angle 3[/tex]

This property is called the subtraction property

5. If [tex]\angle 2 = \angle 3[/tex],

Then [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are congruent

what is the distance between points C and D
C(2,1)
D(4,1)​

Answers

Step-by-step explanation:

let c=x1, y1 and d=x2,y2

Then distance=√(4-2)²+(1-1)²

= √4+0

=2

ans is 2 units

helpppppppppppp.......​

Answers

Answer:

Step-by-step explanation:

Addition I think

it is division!!!!!!!!

do you guys mind helping me with this question

Answers

Answer:

4 and 6

Step-by-step explanation:

Judging by the table and how x = 1 and y = 2, you can estimate that y is twice as much as x.

This is supported by the equation, if you take 2 and multiply it by x (1) and take 3 and multiply it by y (2), then add the 2x1 (2) and 3x2 (6), you should get 8.

A pie shop sold a total of 208 pies one day. The pies were apple, cherry, and blueberry. The ratio
of apple pies sold to cherry pies sold to blueberry pies sold was 6:4:3. How many of each type
were sold?
Plss step by steppp

Answers

Answer:

96 apple pies, 64 cherry pies, and 48 blueberry pies.

Step-by-step explanation:

6 + 4 + 3 = 13, and 208 / 13 = 16. Now multiply each number in the ratio by 16, so 6 x 16 = 96, 4 x 16 = 64, and 3 x 16 = 48. You can check your answer by adding all 3 numbers and making sure it adds up to 208. Hope that helps

NEED HELP QUICKLY! WILL OFFER BRAINIEST!!

Answers

The answer would be B because that’s what it says on the chart
Sbsnsjkakalaidmdmsmakksksnbxc

ill help just cal me MAMAS

Answers

Answer:

Bet

Step-by-step explanation:

2. Hudson and 7 of his friends found a bag of pennies. There were 320
pennies, which they shared equally. How many pennies did each person
get?

Answers

Answer:

each person gets 40 pennies.

Step-by-step explanation:

Hudson AND 7 = 8

320 ÷ 8 = 40

Each person gets 40 pennies.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Each person gets 40 pennies.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Hudson and 7 of his friends found a bag of pennies.

Total pennies= 320

So, Pennie get by each

=320 ÷ 8

= 40

Hence, Each person gets 40 pennies.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Write the product 3i(5 - 3i) in the form a + bi.

Answers

An imaginary number is denoted by i.

The value of i is √-1.

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

What is an imaginary number?

An imaginary number is denoted by i.

The value of i is √-1.

We have,

Imaginary number.

i= √-1

i² = -1

i³ = -i = -√-1

Now,

3i (5 - 3i)

Removing the parenthesis.

= (3i x 5) - (3i x 3i)

= 15i - 9(-1)

= 15i + 9

= 9 + 15i

This is in the form of a + bi

Thus,

The product of 3i (5 - 3i) in the form of a + bi is

9 + 15i.

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ2

a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?

Answers

Answer:

The girl is 19 y/o, the mom is 38 y/o and the dad is 43 y/o.

Step-by-step explanation:

26+13+31= 70    NO  

40+20+45= 105   NOT QUITE

19+38+43= 100 YES

Answer:

19 38 and 43

Step-by-step explanation:

Im not sure but hope this helps!! :)

Please give working step and the answer

Answers

Answer:

Probability = [tex]\frac{22}{31}[/tex]

Step-by-step explanation:

Number of students working part time, living in dorm = 22

Total number of students working part (either living in dorm or not in dorm)

= 22 + 9

= 31

Probability of the students working part time and living in dorm,

P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]

P = [tex]\frac{22}{31}[/tex]

Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].

I’ll give brainlest if you answer this correctly!

Answers

The answer is the last one y=2.60z+180

Name 2 inequalities with answers please and Thank you :)

Answers

Answer:

A compound inequality contains at least two inequalities that are separated by either "and" or "or". ... A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Hope this helped! :}

I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more

How much did i have before this??

Answers

Answer:

133 bucks can i get brainliest

Step-by-step explanation:

Please help me!! 15 pts and Brainliest!

Question and graph is in image, thanks and please answer correctly!

Answers

Answer:

the measure of angle sbt is 95 degrees

Step-by-step explanation:

50+35=85

180-85+95

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.

Answers

Answer:

Percent air is calculated as:

Percent air = Current amount/Total amount *100

Solve for total amount of air:

Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

through: (1,-1), Parallel to y = 1/4× - 4​

Answers

Answer:

I believe it is y=1/4x.

A proportional relationship can have a negative or positive unit rate.
True or False

Answers

Answer:

true :)

Step-by-step explanation:

hope this helps <3

Solve:
x/2 - 3x/4 = 7/2​

Answers

Answer:

x=-14 is the answer. Hope this helps :)

Answer:

x=-14

Step-by-step explanation:

(x/2)-(3x/4) = (-x/4) = 7/2

-x  =14 (multiply by 4)

x = -14 (multiply by -1)

Hope this helps!

HELPPP ACELLUS ALGEBRA 2
Divide.
3x^3 + 2x^2 – 3x + 54
/x + 3

Answers

Answer:

The answer is 5

Step-by-step explanation:

I hope this is helpful

y = 2/3x - 3 as a function

Answers

Answer:

∫(x) = [tex]\frac{2}{3}[/tex]x - 3

Answer:

f(x)=2/3x-3

Step-by-step explanation:

f(x) is the same as y, so the function would be f(x)=2/3x-3.

Hope this helps! :)

1+1

Brainliest is in the deal first one to answer

Answers

Step-by-step explanation:

2 !!!

hope it helps

have a great day:))

Answer:

2 :D

Step-by-step explanation:

......thank you....

Please help for brainliest!

Answers

Answer:

m = 1/2

Step-by-step explanation:

To find the slope, all you have to do is find the rise and divide it by the run. Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point.

You can pick any two points on the line. Let's say I choose (10, 5) and (20, 10).

Let's look at the y coordinates first. You have 5 and 10. To get from 5 to 10,  you have to go up 5 units. Your rise is 5. Let's look at the x coordinates now. To get from 10 to 20, you have to go up 10 units. Your run is 10.

As I said before, the slope is rise/run. In this case, we have 5/10, which can be simplified to 1/2. Your slope is 1/2.

Note that any two points on this would give you the same answer of 1/2 for this line. If I had picked (30, 15) and (70, 35), I would still get 1/2.

Hope this helped!

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]

* [70, 35] and [80, 40] for instanse

[tex]\displaystyle \frac{-40 + 35}{-80 + 70} = \frac{-5}{-10} = \frac{1}{2}[/tex]

I am joyous to assist you at any time.

Evaluate the expression c^2 + a if a = 1/2 and c = 9.

Answers

Answer:

81 1/2

Step-by-step explanation:

We plug a and c in to get: 9^2+1/2

9^2=81 and 81+1/2 is 81 1/2

Plug in the values
9^2 + 1/2
81 + 1/2 = 81.5
Solution: 81.5

how do you solve 4devided by
12

Answers

Answer:

0.33333333

Step-by-step explanation:

4 divided by 12 would be written like this: 4/12

it's always good to simplify if possible, so it should look like this: 1/3

3 which is the denominator would be divided by 10, so 3/10 = 0.33333333

0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333

- 8.5а - 4.5+ За = - 24.5​

Answers

Answer:

a=3.63

Step-by-step explanation:

Isolate the variable by dividing each side by factors that contain the variable.

3.63
hope this helps:)

I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.

Answers

5


Explanation: To find the rate of change we need to plug the numbers into the formula of x1-x2/y1-y2


So we need to get the biggest and smallest numbers for each row so the equation would look like this


500-300/40-0 so the answer would be 5 have a nice day (:

What is y=x+3

Plz help






























Answers

Answer:

simplify both sides of the equation and then isolate the variable x=y-3

Hope this helps!

Guys please little fast! GCF of 39 and 65

Answers

13 my guy I gotcha.

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

Divide both sides by 2.

I answered this earlier

Why would anyone delete my answer which was correct.

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