Find dy/dx (the derivative ) of f(x) = 4x
2
using
limits definition of the derivitive (of limit of the
DQ when h­­> 0
Formulas needed
a) Equation of a line in slope­yintercept form y = f(x) = mx + b
b) Equation of a line slope­point y ­ y1 = m (x ­ x1)

Answers

Answer 1

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

Derivative of a function

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: https://brainly.com/question/416343


Related Questions

When multiplying 286 x 23 what is the first step?

Answers

Answer: the answer to your question is 6,578

Step-by-step explanation:

Answer:

first step multiple 286×23=578

CAN SOMEONE PLEASE HELP ME WITH THIS.

Answers

Answer:

see below

Step-by-step explanation:

7a is a term

3 is a constant

8b and 5b are 'like' terms

Which expression is equivalent to 16^3? 2^7 2^11 2^12 2^64

Answers

2^12

Step-by-step explanation:

16^3 = 4096

2^7 =128

2^11 = 2048

2^12 = 4096

2^64 = really big (1.8x10^19 to 2 s.f)

Hope this helps!

Hey whats 56x78 then divide it by 5.

Answers

Answer:

873.6

Step-by-step explanation:

Answer:

873.6

Step-by-step explanation:

56 x 78 is 4368

4268 / 5 is 873.6

Pythagorean Theorem

solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD

Answers

Answer 10

Step-by-step explanation:

its 8 when you round it to the nearest 10 its will give you 10

ur answer will be 10 i hope this helps

find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm​

Answers

Answer:

The area is : 189.27

Step-by-step explanation:

Rectangle: 10 x 15

Semicircle or half circle: A=πr2=π·52≈   78.53982 = 78.54/2 = 39.27

Add Reactangle: 150 + 39.27

9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway
8 ft width of the pool
(6x-4) ft length (of the pool)
(2x + 6) ft length of the Walk way
10x ft width of the Walk way

Answers

Answer:

  (10x² +12x +32) ft²

Step-by-step explanation:

The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.

__

Overall area:

  ((2x +6) ft) × (10x) ft = (10x² +60x) ft²

Pool area:

  ((6x -4) ft) × (8 ft) = (48x -32) ft²

Walkway area:

  overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)

  = (10x² +12x +32) ft²

What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)​

Answers

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

What is the length of the arc?

The arc length is defined as the interspace between the two points along a section of a curve.

An arc of a circle is any part of the circumference.

The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;

[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]

Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.

Learn more about arc here;

https://brainly.com/question/14506767

#SPJ1

he price of a laptop was marked 80 percent off because it had a cracked screen.
If this resulted in a savings of $600, what is the value of x in the table above?

Answers

Answer:

Total Price = $750

Price Payed = $150

Step-by-step explanation:

Let me know if you need an explanation

If a and b are positive integers the system consists of which inequalities?

Answers

Answer:

D)   y > -ax + b

E)   y < ax - b

Step-by-step explanation:

The line with the negative slope (blue on attached diagram):

negative slope  →  -axshading above y  →  y >positive y-intercept  →  +b

Therefore:  y > -ax + b

The line with the positive slope (red on attached diagram):

positive slope  →  axshading under y  →  y <negative y-intercept  →  -b

Therefore:  y < ax - b

Square PQRS is drawn inside rectangle ABCD such that side PQ is on side AB and side SR is on side DC, as shown below. Line segment PB is 17 inches long and line segment DR is 15 inches long. What is the perimeter of rectangle ABCD?

Answers

The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches

How to determine the perimeter of ABCD?

The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation

The perimeter (P) of the rectangle ABCD is calculated using:

P = AB + BC + CD + DA

Since the opposite sides are equal, the formula becomes

P = 2 * (AB + BC)

Assume that the values of AB and BC are 20 and 15, respectively;

The equation becomes

P = 2 * (20 + 15)

Evaluate the product

P = 70

Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)

Read more about perimeter at:

https://brainly.com/question/24571594

Dan read 126 pages of his book. He has 68% of his book left to read. How many pages are
in his bool
Enter the number in the box.

Answers

Answer:

394

Step-by-step explanation:

If he has 68% left to read, then he read 100% - 68% = 32%.

32% of the number of pages, n, equals 126 pages.

0.32n = 126

n = 126/0.32

n = 393.75

Answer: 394

Number two and three please asap

Answers

Answer: h and d

Step-by-step explanation:
the answer is correct because it shows it please give this a like

45 miles divided by 1 hour and 45 minutes

Answers

Answer:

(45 miles) / ((1 hour) + (45 minutes)) =

11.4953143 m / s

Step-by-step explanation:

Answer:

25.71 mph

Step-by-step explanation:

45 miles in  1.75 hours

45 miles /1.75  hours =  25.71 mph

Please help me solve this

Answers

Answer:

[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]

Step-by-step explanation:

So, the answer is the first one

Answer:

{x | x ∈ R, x > 4}

Step-by-step explanation:

Given:  

x - 6 > -2

Add 6 to both sides:

⇒  x - 6 + 6 > -2 + 6

⇒  x > 4

Therefore, the solution set is:

{x | x ∈ R, x > 4}


If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)

Answers

About half of that because 8 x
12

Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?

Answers

Answer:

Step-by-step explanation:

(-3m-2n³)²(4mn²p-4)

= (-3m-2n³)(-3m-2n³)(4mn²p-4)

= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)

= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)

= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6

Roderick works as an architectural draftsman for an engineering firm. His monthly salary is $3,204.17. After taxes and other deductions, he takes home $2,317.56. His wife works as an electronics technician and earns $25.07 per hour. She works 37.5 hours each week and is paid every other week.
Based on this information, what is their gross income for six months?

Answers

Taxes are not deducted for gross income.

Roderick's gross income for 6 months = $3,204.17 × 6 = $19,225.02

Wife's gross income for 6 months = $25.07 × 37.5 × 26 = $25,057.5

Total gross income = $44,282.52

Determine the midpoint of each line segment with the given endpoints.

1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)​

Answers

Answer:

(-1, 3.5)(0, 0)(-3, 0)(4.5, -3.5)

Step-by-step explanation:

Midpoint Formula

M = (x₁ + x₂ / 2, y₁ + y₂ / 2)

#1 : (-2,5) and (0. 2)

M = (-2 + 0 / 2, 5 + 2 / 2)M = (-2/2, 7/2)M = (-1, 7/2)M = (-1, 3.5)

#2 : (0, 3) and (0, -3)

M = (0 + 0 / 2, 3 - 3 / 2)M = (0, 0)

#3 : (-2, 0) and (-4, 0)

M = (-2 - 4 / 2, 0 + 0 / 2)M = (-6/2, 0)M = (-3, 0)

#4 : (9, 0) and (0, -7)

M = (9 + 0 / 2, 0 - 7 / 2)M = (9/2, -7/2)M = (4.5, -3.5)

shift up 5 units

shift down 5 units

shift right 5 units

shift left 5 units

Answers

Answer:

The answer is shift up 5 units.

The answer is shift up 5 units

select the correct number from each list to complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4

Answers

lto complete the equation.

8

-)+?

8

2

2.

-2

-2

Mit

to it

-4

3

-3

4

6

Jack wants to measure the height of a tree. He sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 36 feet from the tree, and Tom is standing 9.1 feet from the mirror, as shown in the figure. His eyes are 6 feet above the ground. How tall is the tree? Round your answer to the nearest foot.

Answers

Answer:

11t.

hope this helps you

10.0% complete
Question
You are writing a book about a 3,030-mile bike race across the United States. You wonder about a title, and how many pedal strokes it takes to finish the race. Assuming a pedal stroke is about 16 feet on average, which of the following would be the best book title?

Answers

Answer:

Step-by-step explanation:

"One Billion Pedals to  Finish " seems like a good title to me, but, if you want a math correct title, then,  

3,030mi* 5280 ft. per mile = 15,998,400 ft.

now divide pedals into ft.  

15,998,400 / 16 =999,990     :D  do you think they did that on purpose?  made the answer  99999    :D  I think so,  soooo name the title  "One million pedals to finish"  or to be math accuate,  but less "pop" ,  then   "999,990  petals to finish"  

I like "One million pedals"  which do you like?  :/   The very first answer? but totally wrong?  :D,  yeah, go with the  " One Billion Pedals"   sure, it's inaccuarate   :DDD   but very amazing  :P

 

Help please with this

Answers

Answer:

85 and 91

Step-by-step explanation:

simplify 3(6a+3b)+5(2a-b).​

Answers

Answer:

28a+4b

Step-by-step explanation:

Write the number in expanded NOTATION 14.95

Answers

14 + .90 + .05 ??
i think

I AM A LIL BIT CONFUSED HERE CAN SOMEBODY HELP ME

Answers

Answer:

y = x^3 - 3x^2 - 22x +24

Step-by-step explanation:

I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.

Hope this helps :)

Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)

I realized I can't post the link, but that's the name of it

At a fudge shop, they cut a sheet of fudge into one-ounce pieces.
What would happen if they cut the sheet of fudge into one-pound pieces?
A.There would be more pieces.
B. There would be fewer pieces.
C. There would be no pieces.
D. There would be the same number of pieces.

Answers

Answer:

a

Step-by-step explanation:

A. 1 lb. is larger than 1 oz.

The dimensions of a triangular prism are shown in the diagram. The prism is not drawn to scale.
What is the volume of the triangular prism in cubic centimeters?

Answers

Answer:

151200 cm³

Step-by-step explanation:

volume = (area of base) × (height of prism)

volume = bh/2 × H

volume = (32 cm)(63 cm)/2 × 150 cm

volume = 151200 cm³

which product is greater than 1/2
5/2x1/2
3/3x1/2
2/3x1/2
4/5x1/2

Answers

the answer is “5/2x1/2” it equals 1.25 which is greater than 1.2
Other Questions
A new LED TV currently cost 1,300 when paid in full. There is also a payment plan available where the customer must pay a monthly payment of $72 for 2 years. How much more will a customer who pays in monthly installments end up paying for the LED TV than a customer who pays the 1,300 in full? Which inequality is equivalent to |X-4| x-4 Which two locations would most likely have similar temperatures andamounts of rainfall and humidity? What are 5 pros of coal of energy? PLS HELPHow did advancements in mathematics change architecture during the Renaissance?They led to the Roman style of construction.They led to the construction of stronger buildings.They allowed builders to re-create Greek structures.They allowed builders to invent dome structures. Help 100 points.Jaime has to configure the DMZ network of his organization to the optimum level. Which is the best practice to do so?A. place all servers outside the DMZB. use multiple firewallsC. block all users from accessing the servers placed in the DMZD. split the DMZ into various segments One theory of the extinction of dinosaur species is that a large meteorite impact on earth caused a major atmospheric change marked by colder temperatures. If this theory is correct, what adaptation of mammals probably allowed them to survive even though dinosaurs became extinct?. Which character is the best example of an archetype?A. The bold rookie who upsets the status quoB. The queen with a magical, life-giving crownC. The babysitter with an interest in medicineD. The child who loves onions but hates candy Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities. What was the least amount of snowfall in any of the cities? In which quarter is the data most concentrated? Explain how you know. In which quarter is the data most spread out? Explain how you know. i walk in godly form among these mortal menbut even a god's reign always comes to an endtears comin down my face every now and thendied so many times but keep gettin reborn againeveryone gone so i made friends with ratshad to make a livin hustled and flippin packsmy whole team down i carried them on my backi been ballin all along you can go check the statsi tell it like it is like a sunday preachermy glass is filled up and its all full of etherstared death in the face im friends with the reaperfriendship with god and he seems like a keeper In alphabetic filing, a patients first name is the __________ filing unit. WHOEVER ANSWERS GETS BRAINLIEST (NO LINKS + AT LEAST 3 EXAMPLES)In "The Secret Garden"...2) Early in the novel, when the servant girl Martha asks Mary if she likes herself, Mary answers, no, she doesn't like herself. Do you think Mary still dislikes herself by the end of the novel? Why or why not? Give at least 3 examples of evidence, such as "Mary likes herself because..." WILL CHOOSE BRAINLIEST!!! HELP!! GIVING 50 POINTS!!Read this article about Malawi windmillFormer Associated Press news agency reporter Bryan Mealer had been reporting on conflict across Africa for five years when he heard Mr Kamkwamba's story.The incredible tale was the kind of positive story Mealer, from New York, had long hoped to cover. Sometimes from the humblest beginnings, great things are achieved. This is not just a story of paraffin lanterns being put out and replaced with light bulbs; this is the story of a village saved by one of their own.The industry of Mr Kamkwamba includes using nails and magnets off an old stereo speaker to create a circuit breaker, and a light switch cobbled together from bicycle spokes and flip-flop rubber.The author spent a year with Mr Kamkwamba writing The Boy Who Harnessed the Wind which has just been published in the US.Mealer says Mr Kamkwamba represents Africa's new "cheetah generation", young people, energetic and technology-hungry, who are taking control of their own destiny."Spending a year with William writing this book reminded me why I fell in love with Africa in the first place," says Mr Mealer, 34."It's the kind of tale that resonates with every human being and reminds us of our own potential."Can it be long before the film rights to the triumph-over-adversity story are snapped up, and William Kamkwamba, the boy who dared to dream, finds himself on the big screen?QUESTION: Include at least three instances in which you used context clues to understand specific words in the article. Explain how the context clues helped you understand each word's meaning. how did canada participation in world war II affect the economy? Pa help po pleasee i need it right now Mike invests $1,778 in a retirementaccount with a fixed annual interest rate of3% compounded 2 timesper year.Whatwill the account balance be after 15 years? Solve the inequality.2(4+2x)5x+ Imagine you are a scientist observing rabbits in the wild. As the rabbits reproduce, rabbits born with brown fur slowly begin to outnumber rabbits with white fur. In 3 - 5 sentences, identify and explain 2 different reasons for why the rabbits with brown fur might be outnumbering the rabbits with white fur. Please help me with this one also