Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas​

Answers

Answer 1

Answer:

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:

[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].


Related Questions

You spent 9.5 hours playing Among Us
this week. This is 2.75 hours more than the
number of hours h you played last week.
Which equation can be used to find h?
A. 9.5=2.75-h B. 9.5= h+ 2.75 C. 2.75= h-9.5 D. 2.75= h+9.5

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A car travels 45 miles on 1 gallon of gas. the car uses 10 gallons of gas how many miles it does travel.

Answers

Answer:

450 miles

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

45 miles for 1 gallon

Every gallon is 45 miles

This is the equation: 45 x G (gallon)

45 x 10 Gallons is 450

find the value of root 7 upto 4 decimal​

Answers

Answer:

2.6458

Step-by-step explanation:

A root of 7 is definitely between the numbers 2 and 3.  When you put this number on a calculator the number should be 2.6458 when rounded.

Answer:

the answer is 2.64575

Step-by-step explanation:

because √2 = 1.414, √3= 1.732, √4 = 2, √5 = 2.236, √6 = 2.449, and √7 = 2.64575 or 2.646

Select all the expressions that are equivalent to 15n – 10.
8n – 23 – 3n + 11 + 10n + 2
20n – 5 + 15n – 5
3(5n – 2)
5(3n – 2)
35 – 3n + 10

Answers

Answer:

Step-by-step explanation:

the expression is equivalent with

5(3n-2)=15n-10

Sally forgot to put her sneakers on before leaving to play at the park. She noticed right away that her feet were becoming very hot due to the pavement. Sally was experiencing the transfer of heat known as...

Answers

Answer:

conduction

Step-by-step explanation:

Radiation transfers heat to the pavement through empty space. Because the pavement is black, it absorbs more heat. ... Because the pavement is darker so it absorbs more heat.


Can someone solve this please and thank you

Answers

The answer to the question is: 3

Answer:

Step-by-step explanation:

16

Work out surface area of this sphere give your answer in to 1 DP

Answers

Answer:

84.9

Step-by-step explanation:

SA: 4×pi×r^2

the radius is the line (2.6cm)

2. 124 2. 1
tell what theroem you used in each class​

Answers

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Add a noun of direct address to the sentence below, along with proper punctuation.

“I like your new haircut."

Answers

Answer:

I like your new haircut, dad.

Step-by-step explanation:

I'm pretty sure

A production company spent 45
1
2 days filming its first movie. The​ company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first​ movie's filming time to the second​ movie's filming time. Compare in weeks.

Answers

Answer:

26 /33

Step-by-step explanation:

Given that :

Number of days taken filming first movie = 45 1/2

Number of weeks spent filming second movie = 8 1/4

Concerning days to weeks ;

45 1/2 days = 91/2 days = 91/2 ÷ 7 ;

91 / 2* 1/7 = 91/14 = 6. 5 weeks

Hence,

Ratio of first week fuming to second week filming ;

6.5 weeks : 8 1/4 weeks

6 1/2 : 8 1/4

13 / 2 : 33 /4

13 / 2 * 4 /33

52 / 66

26 / 33

Which of the following describes
how the graph of f(x) = x2 is
translated to the graph of
g(x) = (x + 8)27
A. left 8 units
B. right 8 units
C. up 8 units
D. down 8 units

Answers

B because y is always left or right but since it’s positive it’s right

The correct translation will be;

⇒  left 8 units

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function is,

⇒ f (x) = x²

And, The graph after translation is,

⇒ g (x) = (x + 8)²

Now,

Since, The graph after translation is,

⇒ g (x) = (x + 8)²

And, The function is,

⇒ f (x) = x²

So, We can say that the translation used is,

⇒ left 8 units.

Thus, The correct translation is;

⇒  left 8 units

Learn more about the translation visit:

https://brainly.com/question/1046778

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Please help me with my homework!!!!

Answers

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

aight can someone help me lol

Answers

It’s gonna be -1/8 correct me if I’m wrong:)

Find the value of the power by completing the statements.

94

The base is
.
The exponent is
.
Its expanded form is
.
The value of 94 is
.

Answers

Answer:

Step-by-step explanation:

The base is 9

The exponent is 4

The expanded form is 9x9x9x9

The value of 9 to the fourth is 6,561

Answer:

The base is  ✔ 9

The exponent is  ✔ 4

Its expanded form is  ✔ 9 x 9 x 9 x 9

The value of 94 is  ✔ 6,561  

Step-by-step explanation: Got it right on Edge.

15(d+7)=4(d-4)+11d answer? ​

Answers

Answer:

Step-by-step explanation:

Factor out to simplify:

15d+105=4d-16+11d

15d+105=15d-16

subtract 15d from both sides

105=-16

this means that there are no solutions for d

AC =
Round your answer to the nearest hundredth.
?
С
70°
4
B

Answers

Answer:

huh? im confused on the question

Step-by-step explanation:

!!

Answer: 3.76

Step-by-step explanation:

trust

At 1:00 P.M, you have 24 megabytes of a movie. At 1:15 P.M, you have 96 megabytes. What is the download rate in megabytes per minute?

A) 96 MB per minute
B) 4 MB per minute
C) 8.0 MB per minute
D) 4.8 MB per minute

Answers

9514 1404 393

Answer:

  D)  4.8 MB per minute

Step-by-step explanation:

In the 15 minutes between 1 pm and 1:15 pm, the number of megabytes downloaded was 96 -24 = 72. The rate of download is ...

  (72 MB)/(15 min) = 4.8 MB/min

What would the function be for the following statement:
"y is 3 more than half of x"?

Answers

Answer:

0

Step-by-step explanation:

NEEED HELP QUICK PLS PLS pls pls pls .

Answers

Answer:

step 4 is correct because h-¹(x)=2x+5

Select the correct answer.
g
If g = 8, what is the value of the expression 2+3?
?
ОА. В
O B. (11)
OC. 7
O D.
19

Answers

Answer:

A. 8/5

Step-by-step explanation:

first, you add the bottom and get 5 then you end up with 8 over 5 or answer choice A

Answer:

a

Step-by-step explanation:

g/2+3

g=8

8/2+3

2+3=5

g/2+3=8/5

Determine the exact time from the first date to the second date. Assume the year is not a leap year.
March 27th to November 21rst

Answers

45 hours according to brainly

Answer:239 daya

Step-by-step explanation:

x^2+5x-6 how do i factor this

Answers

Answer:

Step-by-step explanation:

you have to use the quadratic equation,

and we will get 2 roots,

x=1 and x=-6

(x-1)(x+6)

x-1)(x+6. Hope it helps man

Use order of operations to solve:
14+15(5)-2^2​

Answers

Answer: 95

Step-by-step explanation:

follow the order of operations P.E.M.D.A.S

First multiply 15 with 5 and you get 75. Next, 14+75=99

now for the last part 2^2 is 4

99-4=95

if it’s not 95 it’s 85

Enter the perimeter of a 30°-60°-90° triangle with a hypotenuse of 20. Round your answer to the nearest tenth. You can leave the units off. *

Answers

Answer:

47.3

Step-by-step explanation:

as shown above ,this question can be solved using trigonometry and hence we get the perimeter to be 47.3

an equation that is perpendicular to x-3y=3 and pases through the point (5,-9) in slope-intercept form

Answers

Answer:

y = - 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 3y = 3 ( subtract x from both sides )

- 3y = - x + 3 ( divide all terms by - 3 )

y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (5, - 9) into the partial equation

- 9 = - 15 + c ⇒ c = - 9 + 15 = 6

y = - 3x + 6 ← equation of perpendicular line

Which expressions have a quotient of 3/4?

Answers

Answer:

Step-by-step explanation:

When you divide one number by another, the result is called the quotient.

So, We need more then one number fraction.

I hope this kinda helped.  

Answer:

Step-by-step explanation:

Sorry I have no idea i just need points

Philip wrote the following inequality on the board:
g> 15 Which value for g makes this statement true?
A. 17
B. 15
C. 13
D. 10

Answers

Answer:

A is the answer! (hope I wasn't too late)

4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6

Answers

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?

Answers

Answer:

Now to secrtly stalk this man

Step-by-step explanation:

They have used after 5 days, 1 full box and 1/4 of another box.

What is fraction?

Fractions are used to represent smaller pieces of a whole.

Given that, Each day, a company used 2 / 8 of a box of paper.

They are using 1/4 box of paper each day,

So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4

Hence, They have used after 5 days, 1 full box and 1/4 of another box.

For more references on fraction, click;

https://brainly.com/question/10354322

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Will mark brainliest!!!Please find the value of each variable in the parallelogram!!

Answers

Answer:

a=9

b=11

Step-by-step explanation:

opposite sides of a parallelogram are congruent(aka equal)

so, a=9

b=11

Answer:

A is 9 units and B is 11 units.

Step-by-step explanation:

In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.

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