If xy =1 show that dy/dx=-1/x²​

Answers

Answer 1

If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

→   dy/dx = -(1/x)/x = -1/x²


Related Questions

Tell whether the triangles are similar.Explain.

Answers

Answer: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

Write a multiplication equation and a division equation that this diagram could represent.

A tape diagram of three equal parts. Each part is labeled "eighteen". A brace from the beginning of the diagram to the end of the disgram is labeled "54".

Group of answer choices

3 • 18 = 54 and 54 ÷ 18 = 3

54 • 3 = 18 and 18 ÷ 3 = 54

c


3 • 18 = 54 and 54 ÷ 18 = 3



3 • 18 = 54 and 18 ÷ 54 = 3

Answers

Answer:

[tex]3 * 18= 54[/tex] and [tex]54/18 = 3[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Measurement=18[/tex] per section

[tex]Total\ Measurement=54[/tex]

Required

Model the scenario

The model of this scenario is:

[tex]Sections * Measurement = Total\ Measurements[/tex]

This gives:

[tex]3 * 18 = 54[/tex] -- This represents the multiplication model

Divide both sides by 18

[tex]3 * 18/18 = 54/18[/tex]

[tex]3 * 1 = 54/18[/tex]

[tex]3 = 54/18[/tex]

Reorder

[tex]54/18 = 3[/tex] -- This represents the division model

Answer:

121*5677*66766.546646

5

Step-by-step explanation:

9. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?

Answers

Answer:

Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...

Step-by-step explanation:

It cost $15 to buy 6 pairs of socks.

Answers

thank you, I’ll be using this when I need 6 pairs of socks

(3x + 6) (5x +4)
I need help I don’t understand

Answers

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

What is the measure of angle 7?

Answers

50 degrees is the answer
Angle 7 is 50 degrees

Find the slope on the graph

Answers

Slope = rise/run
Slope = 3/4

The price of an item has been reduced by 45%. The original price was $85.

Answers

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

What is the perimeter of this polygon?

L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400

a
24 units
b
22 units
c
28 units
d
26 units

Answers

Answer:

I am pretty sure it is

B. 22 units

Step-by-step explanation:

Answer:

24 units.

Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.

Let me know of any other questions! :)

The cost to rent a moving van is $61 plus an additional $26 per hourIf a moving van rented for 17 hours, what is the cost? Write and solve an equation to find the answer.

Answers

Answer:

y = 503

Step-by-step explanation:

y=mx+b

y=26(17)+61

y=442+61

y=503

What is the slope of the line in the graph?
PLEASE HURRY

Answers

-5, 5 Hope it helps :D

The area of a rectangular field is 6831 m If the length of the field is 99 m, what is its width?​

Answers

Answer:

The width is 69m

Step-by-step explanation:

Set it up in a equation, W x 99 = 6831. So first thing to do is get the letter by its self. So you will do the opposite of multiplication. And what you do to one side you do to the other so you divide 6831 by 99. And you get W = 69

Answer:

Step-by-step explanation:

Area of rectangular field = length × width 99×w=6831

w = 6831/99

w=69m

Pls hurry I’m being timed

Answers

I believe the answer is “A”

Answer:

I think the answer is A

Step-by-step explanation:

makes sense

3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$

Answers

answer: about 1.93%
hope this helps

The percent of interest is he paying is,

⇒ R = 4.62%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?

Answers

Answer:

D on edge 2020

Step-by-step explanation:

the coordinate point is at (-1, 1.75)

The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The complete question is:

Which graph represents 2(cos(2π/3)+i sin(2π/3))?

The graphs are in the picture, please refer to the picture.

We have a complex number;

= 2(cos(2π/3)+i sin(2π/3))

= 2(cos120 + i sin120)

= 2(-0.5 + i 0.866)

= -1 + i 1.732

The point is (-1, 1.732)

Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ2

The sum of three consecutive numbers is 84. What is the largest of these numbers? (1 point)

26
27
28
29

WILL GIVE BRAINLEST!!!!!!

Answers

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Complete the pattern. 1, 2, 4, 8, 16, __, __, __

Answers

Answer:

1,2,4,8,16,32,64,128

Step-by-step explanation:

You just multiply the number by two to get the next number in the pattern

What is the independent variable of y=3.5x+2.8

Answers

I think it’s 9.8 not really sure

Answer:its y  and x = 6.3

Step-by-step explanation:

look

5TH GRADE LEVEL QUESTION: LOOK AT PHTO AND ANSWER HANDING OUT BRAINLIEST.

Answers

Answer:

The volume of Jill's rectangular prism is 40 cm^3

Step-by-step explanation:

w*l*h=area

2*2*10

4*10

40 cm^3

Hope this helps!!

Find the value of 2x+y when x=4 and y3

Answers

Answer:

11

Step-by-step explanation:

Replace the values of x and y into the equation.

2(4) + 3 = 8 + 3

            = 11

Here’s your answer it’s gonna be 11!!

For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Answers

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3

If my recipe calls for 3/4 cups of water per 1 egg how many eggs do I need if I use 6 cups of water?

Answers

Answer:

6

Step-by-step explanation:

Image by Scientif3
Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided

Answers

I think it’s A it looks like it so I think it is

Find the mean, median, mode, and range of the following data.

10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15

Answers

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

HELPPP please dont skip

Answers

Answer:

B

Step-by-step explanation:

Trust


Please help if u know

Answers

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

(-3,0), (1,10), (5,0)

what is 3 1/4 as an improper fraction a imprper fraction?​

Answers

Answer:

13/4

Step-by-step explanation:

3×4=12

12+1=13

Your welcome

Answer:

13/4

Step-by-step explanation:

The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?

Answers

Answer:

There are 48 male employees.

Step-by-step explanation:

144 divided by 3 = 48

48 x 1 = 48

Therefore there are 48 male employees.

IS THIS CORRECT OR NAH

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Consider the following patter: -18, X, -10, -6, -2
The value of x in this pattern is

Answers

Answer:

-14

Step-by-step explanation:

(-6)-(-2)= -4

(-10)-(-6)= -4

therefore there is a 4 number Gap between them:

(-10) + (-4) = -14

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