What is the derivative of: y=1/(x+1)+2?

Answers

Answer 1
Answer: That derivative is    - 1 / (x + 1)²
Answer 2
Answer: y=(1)/(x+1)+2=(x+1)^(-1)+2\n\ny'=\left[(x+1)^(-1)+2\right]'=-(x+1)^(-1-1)=-(x+1)^(-2)=-(1)/((x+1)^2)

Related Questions

The Halloween candy bowl of chocolates had 80 pieces of candy. On average 3 pieces were eaten every hour.The bowl of sour candy had 120 pieces and 5 pieces were eaten each hour.Write and solve the system. Write each equation in the order that it appears in the problem.At what hour will the bowls have the same amount? How many pieces will each bowl have at this hour?
38 plus what equals 180
Two planes intersect in exactly one _____.lineplanepointprism
What percent of 100 is 30?a. 30%b. 333%c. 3.33%d. 0.3%
A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?

Which of the following could not be true for a function?Domain is {2}, Range is {2}
Domain is {2, 3}, Range is {2}
Domain is {2}, Range is {2, 3}
Domain is {2, 3}, Range is {2, 3}

Answers

C. hope this helps :::)

Answer:

I agree with C

Step-by-step explanation:

It is given that A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B. ​

Answers

Answer:

(i) A∩B = {2,4}

(ii) I don't know how to attach pictures in brainly so i can't send the veen diagram

Which answer is the solution set in simplest form?4x-1/3=7/1
a 4/3
b 7/3
c 3/2
d 11/2

Answers

In this question there is 1 equation with 1 unknown variable. So it is absolutely possible to find the value of the unknown variable "x".
(4x - 1)/3 = 7/1
4x -1 = 7 * 3
4x - 1 = 21
4x = 21 + 1
4x = 22
x = 22/4
  = 11/2
So the value of the unknown variable x is 11/2. So the correct option is option "d". Hope i have answered your question correctly and helped you to understand the method by which these problems should be done.

Solve the system of equations.What is x and y


−2x+15y=−24
2x+9y=24

Answers

−2x+15y=−24

2x+9y=24

Add the two equations together.

-2x +2x = 0

15y + 9y = 24y

-24+24 = 0

The two equations when added become:

24y = 0

Solve for y:

divide both sides by 24:

y = 0/24 = 0

The value of Y is 0

Now replace Y in one of the equations and solve for x:

2x+9(0) = 24

2x + 0 = 24

2x = 24

Divide both sides by 2:

x = 24/2

x = 12.

The value of x is 12

The solution is (12,0)

Answer:

The solution is ( x , y ) = ( 12 , 0 )

Step-by-step explanation:

[ Refer to the attachment ]

if one in every 10 pieces of fruit is a currant and two in every five is a cherry what proportion are raisins

Answers

1/10 currant
2/5 is cherry × 2 to get it out of 10
so 4/10 (cherry) + 1/10 (currant) = 5/10 so 5 raisins

There are 9 performers who are to present their acts at a variety show. How many different ways are there to schedule their appearances

Answers

The number of ways to schedule their appearances is 362880

How to determine the number of ways to schedule their appearances?

The number of performers is given as:

n= 9

Assume that the performers can only perform one after the other;

The number of ways their appearances can be scheduled is:

Ways = 9!

Expand

Ways = 9 * 8 * 7 * ... * 1

Evaluate

Ways = 362880

Hence, the number of ways to schedule their appearances is 362880

Read more about factorials at:

brainly.com/question/11732255

For this type of question it is easiest to think about it in terms of a simple multiplication. The way we can do this is by working out how many possibilities there are for each position on the program. This is as follows:
For the first act, there are 9 possible performers we can pick
For the second act, because we have already assigned a performer to the first act, there are only 8 possible performers
For the third act, because we have already assigned a performer to the first two acts, there are only 7 possible performers
This goes on and on until we reach the final act, where we have used all the performers except one.
Therefore we can say:
For the first act there are 9 possibilities
For the second act there are 8 possibilities
For the third act there are 7 possibilities
For the fourth act there are 6 possibilities and so on
If we want to write this mathematically we can just say that there are:
9 possibilities x 8 possibilites x 7 possibilities etc right down until we are at the final act where there is 1 possibility.
To write this out as an equation we just say:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = the number of different ways
In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
Hope this helped you :)