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

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.

Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?

4 units
11 units
14 units
15 units

Answers

14 units did it and got it right

PLEASEEE HELPPPP POSSIBLE 50 POINTS!!!!!

1. Terry ran around a circular track. If the radius of the track is 200 feet, how far did Terry run?
TYPE IN EXACT ANSWER DO NOT ROUND

2. sue has a circular picture that she wanted to frame. If the pictures frame diameter was 3.5 inches how much framing material did she need?

TYPE IN EXACT ANSWER DO NOT ROUND

3. Johnny wrapped a piece of string around a can of soup. If the soups diameter is 4 inches how long was the string Johnny use to wrap it?

TYPE IN EXACT ANSWER DO NOT ROUND

4. if the diameter of a circle is 3 feet what is the circumference? (use 3.14 for pi)

TYPE IN EXACT ANSWER DO NOT ROUND

5. The radius of a circle is 28 cm what is the circumference? (use 3.14 for pi)

TYPE IN EXACT ANSWER DO NOT ROUND

Answers

Answer:

1. 400π or about 125663.7061

2. 3.5π or about 10.99557429

3. 4π or about 12.56637061

4. 3π or 9.42 (I used 3.14 for pi like the directions said)

5. 56π or 175.84 (I used 3.14 for pi like the directions said)

Step-by-step explanation:

I'll add these later if you like.

Which inequality is true?

A number line going from negative 1 to 1.

One-half less-than one-third
Three-fourths greater-than two-thirds
Negative one-fourth less-than negative two-thirds
Negative 1 greater-than three-fourths

Answers

Answer:

The answer is C!

Step-by-step explanation:

I hope this helped!

Have a good day!or night, evening, afternoon, noon, or anything else!

The false statement is Negative one-fourth less-than negative two-thirds

what is Inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given:

A number line going from negative 1 to 1.

One-half less-than one-third

i.e., 1/2 < 1/3 is true

and, Three-fourths greater-than two-thirds

i.e., 3/4 > 2/3 is true

and, Negative one-fourth less-than negative two-thirds

i.e., -1/4 < -2/3 is false

and, Negative 1 greater-than three-fourths

-1 > -3/4 is true.

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ6

Sandra's Bike Club had 360 members last month. Each member pays a $12 membership fee per month.
This month, 27 new members joined and 34 members left the club. How much money will Sandra collect
this month in membership fees?

Answers

Answer:

$4,236

Step-by-step explanation:

34-27=7

360-7=353

353(12)=4,236


6. When you find the unit rate of an item you are finding the cost of ____.

Answers

Answer:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS I DONT UNDERSTAND IT

Answers

Answer:

Step-by-step explanation:

I think b =25

Answer the question for brainliest.
(Simplify Please)

Answers

[tex]1 \frac{2}{5} m - \frac{3}{5} ( \frac{2}{3} m + 1)[/tex]

[tex]\frac{7}{5} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex] \frac{21}{15} m - \frac{6}{15} m - \frac{3}{5} [/tex]

[tex]( \frac{(21 - 6)m}{15} ) - \frac{3}{5} [/tex]

[tex] \frac{15}{15} m - \frac{3}{5} [/tex]

[tex]1m - \frac{3}{5} [/tex]

[tex]m - \frac{3}{5} [/tex]

Which statement is not true about the pattern sown?

Answers

Answer:each fraction is greater than the one before it is not true

Source:trust me bro

The one that is highlighted

5. If AABC = ADEF, find the measure of

Can someone explain me?

Answers

Answer:

Option A) angle B = 67°

Step-by-step explanation:

I'll use " [ " symbol for saying angle.

Alright so ...

since triangle ABC and triangle DEF are congruent

it means [ A = [ D

[ B = [ E

[ C = [ F

here [ A = 78° (which means [ D is also 78°)

and ..[ F = 35° (which means [ C is also 35°)

-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..

you write.. [ A + [ B + [ C = 180° (angle sum property)

78° + [ B + 35° = 180°

113° + [ B = 180°

[ B = 180 - 113

= 67°

I hope that clears the concept , if you have any questions regarding it I'd love to help .

Determine the angle measure.

Answers

Answer:

the measurement is 30 degrees

what is the slope kf the line that passes through (5,-11) and (-9,17)​

Answers

Answer:

The slope is:

[tex]m=-2[/tex]

Step-by-step explanation:

Given the points

(5, -11)(-9, 17)

Finding the slope between the points using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(5,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-9,\:17\right)[/tex]

[tex]m=\frac{17-\left(-11\right)}{-9-5}[/tex]

[tex]m=-2[/tex]

Therefore, the slope is:

[tex]m=-2[/tex]

Thus, option A is true.

A store is on sale for 75% less than it’s original price of $24

Answers

Answer:

So wouldn't  it be like $6 as the actual price now.

Step-by-step explanation:

Hope this helps if not let me know.

Sorry if it is wrong,

I will be giving 10 points please answer!!

Answers

Answer:

C and D

Step-by-step explanation:

I think it's C and D

You can't be certain that the coefficient of s is 3.

The entire thing is not a sum because there's fractions in the equation.

it’s C and D

explanation:

Danielle is paid $75 for 5 hours of work. How much does she make for 1
nour of work? *

HELP ME PLS

Answers

Answer:

the answer is 15$

Step-by-step explanation:

i did 75/5hrs which equal to 15 and if you get 15$ every 5 hrs you will get 75$

Answer:

15

Step-by-step explanation:

Cost over quantity $75 over 5 your going to one so you divide 5 by 5 to get 1 and what ever you do to da bottom u have to do da same to da top so 75 divided by 5 is 15 so 15 is your answer.

Hope dis helps:)

What is 6/7 divided by 2/7

Answers

Answer:

3

Step-by-step explanation:

6/7 divided by 2/7

=

6/7 divide 7/2 (cancel out 7)

=

6 multiply 1/2 (reduce)

=

3

Find the measure of the exterior angle.

Answers

add the two angles withen the triangle and make that equal to the exterior angle

The population of a town is 8,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years?

Answers

Answer:

11680

Step-by-step explanation:

4.6% of 8000 is 368

368 x 10 = 3680

3680 + 8000= 11680

13) (-2. – 5v).- (-4v – 2)
Can you help a girl out

Answers

Answer:

If simplifed, it'll be -v

Step-by-step explanation:

Write an equivalent expression for 2(3x + 5). ​

Answers

Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}[/tex]

[tex]\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }[/tex]

[tex]\large\textbf{a(b + c)}[/tex]

[tex]\large\textbf{= a(b) + a(c)}[/tex]

[tex]\large\textbf{= ab + ac}[/tex]

[tex]\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}[/tex]

[tex]\huge\textbf{Your equation that you provided:}[/tex]

[tex]\large\textbf{2(3x + 5)}[/tex]

[tex]\large\textbf{= 2(3x) + 2(5)}[/tex]

[tex]\large\textbf{= 6x + 10}[/tex]

[tex]\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}[/tex]

[tex]\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}[/tex]

[tex]\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjo your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

A student forgets to study for an exam consisting of ten multiple choice questions, each with three possible answers. Instead, the student will have to randomly guess, so that there is a 1 3 probability of getting any arbitrary question right. If 6 or more correct answers is a passing score, what

Answers

Complete question :

A student forgets to study for an exam consisting of ten multiple choice questions, each with three possible answers. Instead, the student will have to randomly guess, so that there is a 1 3 probability of getting any arbitrary question right. If 6 or more correct answers is a passing score, what is the probability of passing

Answer:

0.07656

Step-by-step explanation:

Given that:

P(correct guess) = 1/3 ; p= 0.33333

Number of questions /trials = 10

P(x ≥ 6) = p(6) + p(7) + p(8) +... + p(10)

This is the sum of the probabilities of getting exactly 6, 7, 8, 9 or 10 questions.

Using the binomial probability calculator to save computation time :

P(x ≥ 6) = 0.07656

278×125 k12k12k1k1k21k21k2k1212k1k21kk21k21k21k2k1k21k2

Answers

hajsjsjsjdjsjjahahagayaghdicidiabavabbwbebeb

Answer:

275 × 125 = 34,375

Hope this helps!! Please consider marking brainliest! Have a good one!!

Step-by-step explanation:

      2 7 5

×       1 2 5

+     1 3 7 5

+     5 5 0  

+   2 7 5    

=  3 4 3 7 5

Please help me with this.

Answers

it takes 12 minutes to fill the bathtub!!

hope this helps ;))

I need help can you help me

Answers

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

can you explain or tell me why thats the answer

Answers

Answer:

its uhh its2

Step-by-step explanatiits on:

ahem wrote 2 numbers the first numbwr has a 7 in its tenths place the second number has a 7 with a value of 1000 times grater than the value of the 7 in the 7 in the first number in witch place is the 7 in the second number


hundreds

tens

hundred thousands

thousands ​

Answers

Hmmm I’d say 100,000. I’m pretty sure the right answer would be 10,000’s but if those are your only options then yes 100,000’s

the two pictures are the questions and question five is what i need help with.

Answers

Answer:yes they do

Step-by-step explanation:

Im going to be honest i rlly dk

3 (x – 4) = 2x + 6
solve for x

Answers

Answer:

Step-by-step explanation:

3 (x – 4) = 2x + 6                  Remove the brackets

3x - 12 = 2x + 6                    Add 12 to both sides.

3x - 12 + 12 = 2x + 6 + 12     Combine

3x = 2x + 18                         Subtract 2x from both sides

3x-2x = 2x-2x + 18              Combine

x = 18

What is the zero of the function below?

A. x = -3

B. x = 1

C. x = -1

D. x = 9

Answers

The answer to your question is d
The answer is D hope that helps

Im not sure on this question can someone answer this?

Answers

Answer:

[19+7÷(2×6)+1]

19+7÷12+1

26÷13

2

Answer:

Step-by-step explanation:

(19+7)÷(2×6+1)

Can anyone help me out? That would be greatly appreciated!

Answers

B. SAS

Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.

Answer:

im not really sure but i believe the answer is B.SAS.

i also know It Not C.HS and D. non of the above.

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