If y = xy + x2 + 1, then when x=-1,
dy/dx

Answers

Answer 1
Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.

dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
Answer 2

If y = xy + x² + 1, then when x=-1,

dy/dx = -1/2

What is Derivatives?

The rate of change of a function with respect to a variable are called Derivatives.

Given that, y = xy + x² + 1

Put x = -1 we get,

y = -1y + (-1)² + 1

y = -y + 1 + 1

y = 1

Now Differentiating the given equation w.r.t x

dy/dx = xdy/dx + y + 2x

dy/dx - xdy/dx = y + 2x

dy/dx (1 - x) = y + 2x

dy/dx = (y + 2x)/(1 - x)

Put x = -1 and y = 1 we get

dy/dx = (1 + 2(-1))/(1 - (-1))

dy/dx = -1/2

Hence, y = xy + x² + 1, then when x=-1,

dy/dx = -1/2

For more references on Derivatives, click;

https://brainly.com/question/25324584

#SPJ2


Related Questions

Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:


Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66


Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)

Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)



((No website links please I'm giving 15 points))

Answers

Answer:

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

Find the selling price of a $170 concert ticket with a 55% markup.
Round to the nearest cent when necessary.

Answers

Answer:

$263.50

Step-by-step explanation:

The average temperature is 62°F on Monday and 58 F on Tuesday. If the average temperature from Monday through Wednesday is at least 64°F, what is the lowest possible average temperature on Wednesday, in degrees Fahrenheit?

Answers

Using the mean concept, it is found that the lowest possible average temperature on Wednesday, in degrees Fahrenheit, is of 72.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem, there are 3 observations, given by: 62, 58 and x.

The mean is of at least 64, hence:

[tex]\frac{62 + 58 + x}{3} \geq 64[/tex]

[tex]120 + x \geq 192[/tex]

[tex]x \geq 72[/tex]

The lowest possible average temperature on Wednesday, in degrees Fahrenheit, is of 72.

More can be learned about the mean concept at https://brainly.com/question/24628525

In Ms. Enderson's class there are 14 boys and 12 girls. What percent of girls are in the class?

Answers

Answer:

46.15%

Step-by-step explanation:

# of girls + # of boys = total # of students

12+14=26

# of girls / total # of students = percentage of girls in the class

12÷26=0.461538

Move the decimal place over two spots or multiply by 100 for the percent

46.1538%

Round up if needed, in this case I rounded up to the hundredths place.

Para determinar las ganancias en colones, por concepto de entradas a un museo se usa la fórmula 3000x + 1500y + 1500z, en la x corresponde a la cantidad de adultos que ingresan;y, a la de los niños, y z, a la de los adultos mayores. ¿Cuál fue la ganancia del museo durante un fin de semana si ingresaron 38 adultos, 56 niños y 15 adultos mayores?

PORFA AYUDENMEN!

Answers

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Please help with this math problem ASAP! I will give brainliest!

Answers

Part A

Refer to the diagram below. Specifically, refer to figure 1.

Point P is added to form a right triangle.

J is at (-7,2) and P is at (11,2). Segment JP is 18 units long.

We split segment JP into 4 equal pieces to get 18/4 = 4.5; this result is added onto the x coordinate of J to get -7+4.5 = -2.5 which is the x coordinate of point Q. So Q is at (-2.5, 2)

The value -2.5 is the x coordinate of point S as well.

Notice how the ratio JQ:QP is equal to 1:3.

----------

The distance from P to H is 6 units, which divided into four pieces means 6/4 = 1.5 is added onto the y coordinate of P to get 2+1.5 = 3.5; this is the y coordinate of points R and S as the diagram indicates. Like in the previous section, the ratio PR:RH is equal to 1:3

So ultimately point S is located at (-2.5, 3.5)

If we used the distance formula to compute the lengths of segments JS and SH, then we should find that they are in the ratio 1:3. In other words, segment SH is 3 times longer compared to segment JS. This would help confirm the answer. I'll let you do this confirmation part.

Answer: (-2.5, 3.5)

============================================================

Part B

Refer to figure 2 this time.

We'll have a similar thing going on here as done in part A, though the points Q and R are in different locations.

To find where Q must be, we take 5/6 of the distance from J to P (which we found was 18 units). So (5/6)*18 = 15. This 15 is added onto the x coordinate of J to get -7+15 = 8. This is the x coordinate of point Q and point T.

Similarly, (5/6)*(length of segment PH) = (5/6)*6 = 5 is added onto the y coordinate of P to form the point R(11,7). The y coordinate of this helps form the y coordinate of the point T.

In short, point T is located at (8,7)

You should find that JS/SH is equal to 5/6 when you apply the distance formula to compute the lengths of JS and SH. I'll let you do this confirmation.

Answer: (8,7)

How many medians a triangle can have?

Answers

Answer:

3

Step-by-step explanation:

find the difference of (k+3)-(3k-5)

Answers

Answer:   8k - 2

Step-by-step explanation:

(k + 3) - (3k - 5) = k + 3 - 3k + 5       [expand the brack and simplify like terms]

                         = -2k + 8

       

SOMEONE PLEASE HELP ME FIND Y ASAP I REALLY NEED HELP

Answers

Answer:

Answer is in the picture. hope it helps.

Answer:

Step-by-step explanation:

*the x is substitued by the given number

*you don't need to put it next to "x"

for example, you put y=1/3x(-9)+2

but it is y=1/3(-9)+2

and the answer is -1

I hope my explanation can help you

1. -1

2. 1

3. 2

4. 4

5. 6

7. 9

La división de un segmento de recta en n partes tiene un caso especial que es cuando el segmento se divide en dos partes iguales. En este caso se dice que el punto que divide al segmento en dos partes iguales, corresponde al punto medio del segmento de recta AB. Deduce las ecuaciones para k, xr y yr para este caso especial.

Answers

Answer: Creo que es correcto

Step-by-step explanation: Porque si realmente lo piensas, probablemente lo entenderías, así que sí, y espero haberte ayudado.

Find the measure of each angle indicated

Answers

Answer:

67°

Step-by-step explanation:

1. The final angle in the top triangle is : 70

The angles in a triangle add up to 180° so 74 + 36 = 110 and 180 - 110 = 70

2. Vertically opposite angles are equal so the angle opposite the one we just found is 70° as well

3. The angles in a triangle add up to 180° so 70 + 43 = 113 and 180 - 110 = 67

Therefore, ? = 67°

The answer is 67 because 74+36=110 and 180-110=70 and 70+43=113 so the answer is 67

mathematics of inequality

Answers

Answer:

(-3x²+5x-2)-2(x²-2x-1)

-3x²+5x-2-2x²+2x+2

-5x²+7x

b = 7

Answer:

(-3x²+5x-2)-2(x²-2x-1)

-3x²+5x-2-2x²+2x+2

-5x²+7x

b = 7

Step-by-step explanation:

Find the value of X. Show your work

Answers

Answer:

x = 15; I hope this is right

24 divided by 16 = 1.5

10 times 1.5 = 15

the answer plz and thanks ​

Answers

Answer:

60

Step-by-step explanation:

f(6) = 60

In a class full of men and women, 2/9 of the class are women
What is the ratio of men to women in its simplest form?

Answers

Let the total students in class be x
We are given that 2/9 of the class are women.
So, No. of women =
No. of men =
Ratio of men to women =
=
Hence the ratio of men to women is 2:7

Step-by-step explanation:

9/9 (total no. of students) - 2/9 (women)

=7/9 (male)

= 7:9

Can someone help me with this Khan Academy? I have a picture attached below.

Answers

Answer:

B, g(n) = 50*1.15^n

Step-by-step explanation:

It's a geometric sequence because the money is increasing by a percentage every year.

100, 98, 94, 88, … what are the next three numbers in this pattern?

Answers

80,70,58 I think let me know if it is wrong

If f(a) = 3a – a2, which of the following are not true statements?
Select all that apply.

f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40

Answers

Answer:

f(-1) = 2

f(0) = 3

Step-by-step explanation:

f(a) = 3a - a²

f(4)= 3*4-4²= -4 ⇒ correct

f(3)= 3*3-3²= 0 ⇒ correct

f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect

f(0) = 3*0-0²= 0 ⇒ incorrect

f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct

Please help, 5 stars will be given

Answers

Answer:

x. /. Y.

0. /. 1.

1. /. 3.

2. /. 5.

3. /. 7.

Step-by-step explanation:

Help me pleaseeeeeeeeeeeeeeee

Answers

I need help on this one too

PLS HELP Which value makes the equation 20−3x=5 true?
12
0
6
5

Answers

Answer:

hope this helps :)

Step-by-step explanation:

20−3x=5

Subtract 20 from both sides.

20-3x-20=5-20

⇒-3x=-15

divide both sides by 3

⇒-3x/-3=-15/-3

⇒x=5

Answer:

[tex] \sf \: d) \: x = 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 20 - 3x = 5

Then the value of x will be,

→ 20 - 3x = 5

→ -3x = 5 - 20

→ -3x = -15

→ 3x = 15

→ x = 15 ÷ 3

→ [ x = 5 ]

Hence, the value of x is 5.

HELP THIS IS DUE SOON

Answers

Answer:

function : 2 and 3

Step-by-step explanation:

a function cant have any overlapping points on the x axis, if you can draw a line up and down (vertical) and it hits two points then it isn’t a function

A fuctions has each c value only used once. So B is a straight line there is not c point used twice same with graph C. Graph A however does have c values used more than once since you can draw a straight vertical line and hit more than one point

HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER

Answers

Answer:

a) m + 1000

b) m/2

c) 2(m + 1000)

Step-by-step explanation:

Amount earned by Bernie per day = Php 1000

Amount earned by Mitch on a given day = m

a) Expression of combined amount of earnings = m + 1000

b) Amount earned by Eugene on a given day = m/2

c) Amount earned by Rowan = 2(m + 1000)

#4M1735H

HELPPPP please Due today

Answers

Answer:

B

Step-by-step explanation:

Answer:

youre correct its m=4

Step-by-step explanation:

got it correct!

Solve this please

35 cm = [?] m

Answers

Answer:

0.35

Step-by-step explanation:

100cm = 1m

1cm = 0.01m

35cm = 0.35m

can anyone answer this if u can pls tell me thankyou❤️

Answers

Answer:

answer in Step by step

Step-by-step explanation:

first row

4+3=7

-1+1=0

4+-3=1

second row

1+3=4

1+-1=0

-3+1=-2

thrid row

-2+3=1

-2+-1=-3

-2+-3=-5

can someone help me with 1-10

Answers

Answer:

Step-by-step explanation:

1 - 4 are in the attached image. Use a spreadsheet for quick calculations.

5. Opens up. Vertex is (0,1) Symmetry around y axis.

6. Opens down. Vertex is (0,-4) Symmetry is around y axis

7. Opens up. Vertex is (1,-1) Symmetry around y axis

8. Opens up. Vertex is (-1,0) Sym. around y axis

9. Opens up. Vertex is (1,1) Sym. around y axis

10. Opens down. Vertex is (1.25, 0.125) Sym around y axis

Hi! I need help with this!
Choose all the expressions that are equal to 0.8 x 0.03.
A. 8/100 x 3/100
B. 3/100 x 8/10
C. 80/100 x 3/100
D.3/10 x 80/10
E. 8/10 x 3/100
Please help me I have it do in a couple days and want to get it done today! Please and thank you!

Answers

Answer:B, C and E

Step-by-step explanation:

0.8 = 8 tenths

0.03 = 3 one hundredths

80/100 is the same as 8/10 or 8 tenths

3/100 is also 3 hundredths

This can be expressed by 8/10 and 3/100

Answer:

e, c, b

Step-by-step explanation:

for more info, check the picks, if this helped, please mark as brainliest

5(x-3)=3x+5 (solve for x)

Answers

Answer:

5x-15=3x+5

5x-3x=5+15

2x=20

x=20/2

x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Hello!

Let's distribute the parenthesis

Solve:

5(x - 3) = 3x + 55(x) - 5(3) = 3x + 55x - 15 = 3x + 5

Now, we can rearrange the variable so that x is on one side and the numbers are on the other.

5x - 15 = 3x + 55x - 15 - 3x = 3x + 5 - 3x2x - 15 = 52x - 15 + 15 = 5 + 152x = 20

We can isolate x by dividing by the coefficient of x (2).

2x = 202x ÷ 2 = 20 ÷ 2x = 10

The value of x is 10.

You purchase six municipal Bonds on the first of the year.
The current market value price is 103.
The commission charge is $5 per bond
what is the cost of purchasing these bonds ?

Answers

Answer:

C

Step-by-step explanation:

Answer:

6210

Step-by-step explanation:

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