F(x)=e*1/x
Calculate f'(x) ​

Answers

Answer 1

Answer:

[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]

Step-by-step explanation:

[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]

[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]


Related Questions

The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?

Answers

Answer:

(-1,-5)

Step-by-step explanation:

Answer:

HMM C..... Answer:  Choice C.   (-1, -5)

Step-by-step explanation:

The reflection rule we use is

when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.

Frank also has an eraser. It has a mass of 3g, and a volume of 1cm3. What is its density?

Answers

0.003 kilograms/ cubic meter

Marietta was given a raise of $0.25 per hour, which gave her a new wage of $10.75 per hour. Enter and solve an equation to determine Marietta's hourly wage, x, before the raise. Complete the explanation to show that your answer is reasonable.

Answers

Answer:

10.50$

Step-by-step explanation:

Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.

Answers

Answer: Bella invested $500 in first and $500 in second stock this year.

Step-by-step explanation:

Given: Total principal amount = $1000

Interest = $110

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first bond , interest rate=  15% = 0.15

Let P = x

Interest = 0.15x

For second bond ,  interest rate=  7% = 0.07

Let P = 1000-x

Interest = 0.07(1000-x)=70-0.07x

Now, [tex]0.15x+70-0.07x=110[/tex]

[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]

Also, 1000-x = 1000-500=500

Hence, Bella invested $500 in first and $500 in second stock this year.

Could you please put the answer with the letter? Does not need to be in order too.

Answers

Answer:

54=n  u=25  G=50  O=31  D=42

B=58  R=30 F=60

Step-by-step explanation:

hopefully, it's right

what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap​

Answers

Answer: slope intercept is y=mx+b

standard form is Ax+By=C.

point slope form is y-y₁=m(x-x₁)

so y=2/3x+2 is slope intercept

Answer:

+Slope-intercept is... y=mx+b

+The standard form is... Ax+By=C.

+A point-slope form is... y-y₁=m(x-x₁)

+So... y= x+2 is... slope-intercept

 ❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤

Can someone please help me?

Answer choices:

-Less than
-Greater than
-Greater than or equal to
-Less than or equal to

Answers

Answer:

4 + √15 > 3 + √6

Step-by-step explanation:

Hi there !

√15 ≈ 3.87

4 + 3.87 = 7.87

√6 ≈ 2.44

3 + 2.44 = 5.44

7.87 > 5.44

4 + √15 > 3 + √6

Good luck !

What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5

Answers

x-intercept: 4

y-intercept: 20

Answer:

Step-by-step explanation:

x-intercept: 4

y-intercept: 20


if c u means 20cd determine the value of 4 how to do maths how to do maths

Answers

Answer

4

Step-by-step explanation:

Lets assume that the variable "cu" is equal to 20cd. The value of this is 4. now we cancel out c from both sides, and get u = 20d = 4. Meaning d is 5, and u is 4. Lastly, u isnt a defined variable, so this shall work for any case.

Please read and analyze the prompt and answer both A and B to receive full credit. Both parts of the question must be written in a complete sentence.

a. On a hot day, a football team drank an entire 50- gallon cooler of water and half as much again. How much water did they drink?

b. Jada has 12 library books checked out and Han has LaTeX: \frac{1}{3}1 3 less than that. How many books does Han have checked out?

Answers

Answer:

b. Graph each equation. c. How long will it be before Alberto has read more ... Since the answer works in both equations, (3.1, 115) ... First, solve the first equation for y to get 2x − 6 = y.

5x-2=3x+4
what does x equal

Answers

Answer:

x=3

Step-by-step explanation:

5x-2=3x+4

[tex]5x-2+2=3x+4+2[/tex]

[tex]5x=3x+6[/tex]

[tex]5x-3x=3x+6-3x[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2}=\frac{6}{2}[/tex]

[tex]x=3[/tex]

Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?

Answers

Answer:

11 am

Step-by-step explanation:

Bus A and Bus B leave the bus depot at 9 am.

Bus A takes 30 minutes to complete its route once

Bus B takes 40 minutes to complete its route once.

We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route

30 = 3 × 10

40 = 4 × 10

= 3 × 4 × 10

= 120 minutes

120 minutes after 9 am is

60 minutes = 1 hour

60 minutes = 1 hour

= 2 hours.

9am + 2 hours

= 11 am.

Therefore, they be back at the bus depot together at 11 am

From 80 pencils to 152 pencils​

Answers

Answer:

72

Step-by-step explanation:

 152

-  80

  72

Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.

:) I Hope you enjoy:)

Identify the range of the function shown in the graph.

Answers

Answer:  [tex]-1 \le y \le 1[/tex]

The range is the set of all possible y outputs of a function. The graph shows the smallest possible y value is y = -1, while the largest is y = 1. The value of y can be anything in between.

If you need the range in interval notation, then you would write [-1, 1]. The square brackets indicate we include each endpoint.

Note: This is likely the graph of y = sin(x)

Can someone please help me answer these

Answers

Step-by-step explanation:

5: odd

6: even

7: even

That's your answer

pls help answer question in picture

Answers

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

Jason went to his local zoo that featured 38 reptile exhibits. If these reptile exhibits make up 95% of the zoo's exhibits, then how .any exhibits does the zoo have in total

Answers

Answer:

40 exhibits

Step-by-step explanation:

First, we will what we have gotten into fractions.

There are 38 reptile exhibits, but we dont know how much exhibits there is total, so we will make the total x: 38/x

We know that a percent is out of 100, so our fraction for the percent is 95/100

Now we are going to cross multiply 38/x and 95/100

38 * 100 = 3800

x * 95 = 95x, so 3800 = 95x

Divide both sides by 95 and you get 40.

Please mark brainliest, thank you!!

A sequence can be generated by using an=an−1+9, where a1=−5 and n is a whole number greater than 1. What are the first four terms in the sequence?
A.−5, 4, 13, 22
B.9, 4, −1, −6
C.−5, −45, −405, −3645
D. 9, −45, 225, −1125

Answers

Answer:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31

Are these two expressions equivalent 42+35 and 7(6+5)

Answers

Answer:

Yes

Step-by-step explanation:

May somebody please help me

Answers

Answer:

I can't see the options

Step-by-step explanation:

Hi. I’m pretty sure the answer would be C. Cashews cost 9.50

Which one?
A. B. C. or D? ​

Answers

C. 7/2x -2.

Because slope is positive, y intercept is -2.

7/2 because if rise over run

Branliest would be appreciated if this helped

The answer is C hope this helps

Select all the equations that have the same solution as the equation 3x-12=24

Answers

Answer:

Select all the equations that have the same solution as the equation 3x-12=24

Step-by-step explanation:

You need to find three numbers that come in quick succession in the order of numbers (ex. 1, 2 and 3) and which
in total gives 30. What are the numbers?
equation

Answers

Answer:

set middle number=x

then left side number=x-1

and right side number=x+1

(x-1)+x+(x+1)=30

3x=30

x=10

x-1=9

x+1=11

numbers are 9,10,11


6 = m - 16


a) m = 20
b) m = 24
c) m = 22
d) m = 21​

Answers

Answer:

c

Step-by-step explanation:

C; to get m, you isolate it by getting rid of 16. To get rid of 16, you add it to both sides. 16 and 6 is 22 and -16 cancels out 16, so you are left with m=16 :)

What is the midpoint between (2,4) and (10,16)?

Answers

Answer:

the midpoint would be (5,9)

Answer:

(6, 10 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )

Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus

midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )

Find the missing integers using appropriate properties.

-18+(-29)= -29+ _ =_

please help me​

Answers

Answer:

I would use associative property and the awnser should be -29+-18= -47

Step-by-step explanation:

i hope that helps im very sorry if thats not right

if the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal to
only proper people will be given this mark...or else will fire u from brainly...​

Answers

Answer: Hola, ila munkililakum ghithishalan fee mabruk ilal habeebi

Please help! I have about a hour!

Answers

The answer is zero 0
You welcome

On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to
chaperones?
2:15
15:17
17:15
15:2

Answers

Yeah 2:15 is the answer sksks

Answer:

D:15:2

Step-by-step explanation:

Trust me on this and also because I have a reason.

2 chaperones for every 15 students

students to

chaperones

15 students for every 2 chaperones

Can I have brainlest please, and I hope you do well!

5/8 × 3/7 in its simplest form?​

Answers

Answer:

15/56

Step-by-step explanation:

5/8 * 3/7 =

15/56

Answer:

15/56

Step-by-step explanation:

5/8 times 3/7

[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form

Please correct me if I am wrong.

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