obtain the derivative of y=2x^2​

Answers

Answer 1

Answer:

[tex]\displaystyle y' = 4x[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                          [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 2x^2[/tex]

Step 2: Differentiate

Derivative Property [Multiplied Constant]:                                                   [tex]\displaystyle y' = 2(x^2)'[/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = 4x[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation


Related Questions

Please help ASAP....A Donut shop sells donuts for $0.75 each with a charge of $1.50 for the box. Write a rule in function notation for this situation.
Options is the mage​

Answers

The answer is the first option.

john swims 5/12 of a mile in 3/8 of an hour. What distance, in miles, does john swims in an hour?

A.) 1 5/9
B.)15/96
C.)5/20
D.)1 5/12​

Answers

Answer:

1 1/9 miles

Step-by-step explanation:

If john swims 5/12 of a mile in 3/8 of an hour, then;

5/12 miles = 3/8 hours

TO get the number of miles he swims in an hour, we will say;

x miles = 1 hour

Equating both expressions

5/12 miles = 3/8 hours

x miles = 1 hour

Cross multiply

3/8 x = 5/12

3x/8 = 5/12

3x * 12 = 5 * 8

36x = 40

x = 40/36

x = 10/9

x = 1 1/9

The amount he swims in an hour is 1 1/9 miles

The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?

Answers

Answer:

The scale factor of the dilation is 2

Step-by-step explanation:

The given vertices the ΔFGH are;

F(2, 1), G(4, 1), and H(4, -1)

The lengths of the sides of the triangle ΔFGH are;

The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2

The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2

The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2

After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;

The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)

The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4

The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2

The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4

The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH

Therefore, the scale factor of the dilation is 2.

What is the lcm of 11 and 14

Answers

Answer:

154

Step-by-step explanation:

MARKIGN PEOPLE AS BRIANLIST NEED HELP THANK YOU

Answers

Answer:

B. I think, im not in this level yet

Step-by-step explanation:

Which expression is equivalent to
8(3x+4w)

Answers

Answer:

24x+32w

Step-by-step explanation:

24x+32w is the answer I think

Question 1 need help asap

Answers

Answer:

x= -9

Step-by-step explanation:

Hope you got this interesting problem!

Answer:

x= x-81

take 180-(x+45)-45= x-81

When you’re multiplying or dividing same sign numbers, what will your product or quotient be?

Answers

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

The answer will be the opposite of the sign so for example -5*-5= 25

Please help i will mark brainliest which helps gain ranks

Answers

Answer:

It is proportional

Step-by-step explanation:

The pool is being filled at a constant rate.

charles charges $4 an hour to baby-sit. He also adds an extra $10 onto the total for families with more than three children. Write an equation for what Charles charges to baby-sit a family of 4 children.

y = 4x - 10

y = 4x + 10

y = 40x

y = 4x + 10x

Answers

Answer:

b

Step-by-step explanation:

The required expression for Charles is y = 4x + 10. Option b is correct.

An expression to be determine that explain charles charge for the families have more than 3 children.

What are equations?

Equation are the coded expression that describes the mathematical familiarities of the word statement.

Here, Charles charge $10 more beside of $4 an hour to baby sit for the families having more than 3 children.
⇒ let  'y' is the total charge applied and 'x' is hours of baby sit.
y = 4x + 10

Thus, the required expression for Charles is y = 4x + 10.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

Please help me please!!!

Answers

Domain : 4 ,1 ,0
Range : 2 ,1 ,0 ,-1 ,-2

Plz help I’m getting timed

Answers

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

1-4 round down 5-10 round up

What is the equation of the line shown in the graph?​

Answers

Answer:

y=4x-3

Step-by-step explanation:

We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).

Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.

Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.

Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.

1/2 x = 14
What is x

Answers

Answer:28

Source:trust me bro

Answer:

1/2 x 28 =14       X=28

Step-by-step explanation:

How would knowing the type of symmetry help you graph a function?

Answers

A graph is said to be symmetric about the y -axis if whenever (a,b) is on the graph then so is (−a,b) . Here is a sketch of a graph that is symmetric about the y -axis. A graph is said to be symmetric about the origin if whenever (a,b) is on the graph then so is (−a,−b) .

hope this helped u <3

Answer: How do you describe the symmetry?

If f (-x), then the graph of f(x) is symmetrical with respect to. A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.

Step-by-step explanation: hope I help you with your problems

) Kelli and her family went to the beach for vacation. They drove 293 miles in 7 hours to get there. If they drove the same number of miles each hour, about how many miles did they drive each hour? Select the numbers the quotient is between. *

Answers

Answer:

about 42 miles rounding up

Step-by-step explanation:

293÷7 and round up

Evaluate the question and simplify

Answers

The answer is 11.

Step-by-step explanation:

19-25\19-15

44/4= 11

Sal used a card to make the purchase, and the full amount was immediately withdrawn from his bank account.

Jen used a card to make the purchase, and she received a bill within 15 days of the purchase. She paid $21.30 for the next 18 months until the bill was paid in full. The full payment included $58.60 in interest.

Which statement describes Sal’s purchase?
Sal used a debit card and paid a total of $383.40 for the stereo.
Sal used a debit card and paid a total of $324.80 for the stereo.
Sal used a credit card and paid a total of $383.40 for the stereo.
Sal used a credit card and paid a total of $324.80 for the stereo.

Answers

Answer:

correct answer is B hope this helps :)

Step-by-step explanation:

The statement describes Sal’s purchase

Sal used a debit card and paid a total of $324.80 for the stereo.

What is Debit card statement?

The statement includes deposits, charges, and withdrawals, as well as the period's initial and ending balances. Account holders typically scan their bank statements once a month to assist keep track of their costs and spending, as well as to look for any fraudulent charges or errors.

Sal and Jen went shopping together and bought the same vehicle stereo. Sal made the purchase with a credit card, and the full money was instantly deducted from his bank account.

Jen used a credit card to complete the purchase, and she received a statement within 15 days.

She made monthly payments of $21.30 for the next 18 months until the account was paid in full. The total payment included interest of $58.60.

Sal used a debit card and paid a total of $324.80 for the stereo," says the document that explains Sal's purchase.

Learn more about Debit card statement here:

https://brainly.com/question/30643540

#SPJ3

Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)

Answers

u would equal 7.8 :)))))))

I will mark you brainiest if you answer this, please help

Answers

Answer: 216

The biggest factor is them times together

Answer:

GCF2

LCM218

EXPLANATION

Skye ran rlaps today at soccer practice. Nadine ran five fewer laps than Skye. If Nadine ran eight laps at practice, which of the following equations could be used to find how many laps Skye ran?
r-5= 8
r+5 = 8
r=8-5
-5r=8

Answers

Answer:

A. r - 5 = 8

Step-by-step explanation:

If Nadine ran 5 fewer laps than Skye, and Nadine ran eight laps, "r" equals 13.

10 POINTS!!!! for the most meaningful message along with a Brainliest

Answers

Answer:

If you always give without thinking of receiving something, you will get more than you need later.

-lorraine9fig

Step-by-step explanation:

Yes. I used my own quote.

"Challenges are what make life interesting and overcoming them is what makes life interesting"

-Joshua J. Marine

"Don’t Let Yesterday Take Up Too Much Of Today."

-Will Rogers

“You Learn More From Failure Than From Success. Don’t Let It Stop You. Failure Builds Character.”

– Unknown

“It’s Not Whether You Get Knocked Down, It’s Whether You Get Up.”

–Vince Lombardi

“Failure Will Never Overtake Me If My Determination To Succeed Is Strong Enough.”

– Og Mandino

“We May Encounter Many Defeats But We Must Not Be Defeated.”

– Maya Angelou

“The Only Limit To Our Realization Of Tomorrow Will Be Our Doubts Of Today.”

– Franklin D. Roosevelt

Whenever I post a question nobody answer but when I put freebie everyone starts getting them in the second I post it like really-_-

Answers

Same tbh :( it sucks

What is $25.49 marked down 45% please help

Answers

Answer:   $14.02

Step-by-step explanation:

Marked down by 45% means it will have a 45% percent discount.

Subtract 45% from 100%  then multiply it by the amount .

100% - 45% = 55%

55% * 25.49 =  14.0195  Round it to the nearest hundredth to convert it to money.  

14.0195 = 14.02

convert
27/8
41/18
41/15
and 29/12
into Mixed numbers show steps please

Answers

Answer:

Ok

Step-by-step explanation:

27/8 = 3 3/8

41/18 = 2 5/18

41/15 = 2 11/15

29/12 = 2 1/3

Step 1: Gather materials and necessary information. a) You will collect information about a used car of your choice and a loan. • Search for a used car you think you would like to buy someday using an Internet search engine for “used cars for sale.” The car cannot be more than $15,000. o Save a picture of the car. o Record the price, mileage, year, make, model, and location of where to buy the car. • Search for loan options with a bank and a credit union of your choice. For both options find. o APR o Restrictions on the loan options o Additional fees o Finance charges o Repayment periods b) Be sure to keep a list of your references so you can cite them later.

Answers

Answer:

If your car companylikelihood that you could go in for the auto insurance not a ... Make sure you are find that your vehicle to get coveragetrade and needs ... You know you're getting the car is in place a lien holder information judgebe filed. ... If your family has more discount they cannot use their cards a bad driver category.

Step-by-step explanation:

We also offer auto leasing, car financing, Chevrolet auto repair service, and Chevrolet ... Time to come see your Service Team at Augusta Master Chevrolet Cadillac. ... As a top Chevy auto dealer in Aiken SC, we want to tell you more about why the ... But, we may have seen a sneak peek of what's to come with the Silverado ...

Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions

Answers

Answer:

Lunar, and solar eclipse!

Step-by-step explanation:

This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!

The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!

I hope this helps, and I'm here if you need anything else! <3

which of the following if rational( )
a)
[tex]\pi[/tex]
b)log2 c)1.23123... d)none ​

Answers

If c is repeating the the answer is none

Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

Given the coordinates  (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.

The standard form of the equation is expressed as;

y = mx+c

m is the slope

m = y2-y1/x2-x1

m = 1-4/-1+2

m = -3/1

m = -3

get the y-intercept c;

Substitute m = -3 and any point say (-1,1) into the equation y = mx+c

1 = -3(-1) + c

1 = 3 + c

c = 1-3

c = -2

Get the required equation;

y = mx+c

y = -3x + (-2)

y = -3x - 2

Plz help Me on this question

Answers

Answer:

what is it

Step-by-step explanation:

Answer:

Naruto

Step-by-step explanation:

Uzmaki

Other Questions
Connor is 19 years old and is on probation. He has been ordered to meet with a probation officer once a week. His car broke down and he missed his probation meeting. His probation officer will not reschedule his meeting and has reported his absence to the judge What will Conner need to do next? A. He will need to find a new probation officer within walking distance to his home B. He should say his goodbyes to family because he is going to prison C. He will have to go back to court to meet with the judge. D. He will have to move in with his parents nswered Search for anything thin WILL MARK BRANLIEST ANSWER IF GOTTEN RIGHT Which word below means to make as small as possible Solve the following equation for thevariable (a). -3a = 15a = 5a = 12a = -5a = 18 Solve for n.- 24 -6n= -42 Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I dont have time. You can put you snap or instagram user so I can DM you. 2.8-4.4n-2n+7QUICKLY BRAINLY IF CORRECT Which of these best explains a difference between a Representative Democracy and Parliamentary Democracy? HHEEELLLLPPPP !!!!!Population increase occurs when there is an increase in __________. A. the birth rate B. child obesity C. the death rate D. economic growth Please select the best answer from the choices provided A B C D Decide whether the sentence is corect or incorrect as written.No te importa las decisiones.O correctO incorrect What is Clara & Sylvester's relationship like in Gumption by Langston Hughes?A. Sylvester isn't looking for work so Clara is frustrated.B. Clara runs the house.C. Clara is opinionated and wise.D. All of the above. Order each set of integers froin least to greatest.9. -7,-9, -19,-810. 1, -5, 6, 8, -211. 5,-31, -4, -1012. -2, -22, 10, -7 PLEASE FOR THE LIVE OF GOD HELP ME Given the interval notation, choose the correct graph. Dan eats of a pizza.2Rachel eats another of the pizza.What fraction of the pizza was eaten? help me with this its super hard true or falseAll proteins found embedded in the cell membrane are transport proteins Pleaseeeeeeeee helpppppppAll living things need _____________. Organisms ___________ their energy in ________ ways. 2, 5, 8, 11, 14,... ... ... ....a30Whats the missing term will give brainliest (9th grade geometry) If the scale factor of Figure A to Figure B is 7:2, find the perimeter of Figure A. Ben spent $430 this month and earns 2% cash back. How much cash back 2 pointswill he receive?*