let h be the function defined by h(x)=g(x)/x^2 1. find h'(1)

Answers

Answer 1

h'(1) is equal to (g'(1) - 2g(1)). To find the specific value of h'(1), you would need to know the explicit form or additional information about the function g(x) and evaluate it at x = 1.

To find h'(1), we will differentiate h(x) using the quotient rule and then substitute x = 1 into the derivative expression.

Using the quotient rule, the derivative of h(x) = g(x)/[tex]x^{2}[/tex] is given by:

h'(x) = (g'(x) × [tex]x^{2}[/tex] - g(x) × 2x) / [tex](x^{2})^{2}[/tex]

= (g'(x) × x^2 - 2g(x) × x) / [tex]x^{4}[/tex]

= ([tex]x^{2}[/tex] × g'(x) - 2x × g(x)) / [tex]x^{4}[/tex]

= (x × (x × g'(x) - 2g(x))) / x^4

= (x × (x × g'(x) - 2g(x))) / ([tex]x^{2}[/tex] × [tex]x^{2}[/tex])

= (x × (x × g'(x) - 2g(x))) / ([tex]x^{2}[/tex])

Now, substitute x = 1 into the derivative expression:

h'(1) = (1 × (1 × g'(1) - 2g(1))) / (1)

= (g'(1) - 2g(1))

Learn more about quotient rule here:

https://brainly.com/question/30278964

#SPJ11


Related Questions

I need help ASAP pleaseeeeee

Answers

Answer: area of smaller is 18 and larger is 45 so the answer is 27

Step-by-step explanation:

ratio 11 to 6 in perimeter

Answers

Answer: the answer will be 6/4

Step-by-step explanation:

Solve the following equation for p. Select all possible solutions. | p/2-1 |= 0.5
0.5
4
2
3
1
5

Answers

Answer:

4

Step-by-step explanation:

What is 0.3709 rounded to 2 decimal places?

Answers

Answer:

If its to the left the answer is 1 and if its to the right the answer is 10 i think

Step-by-step explanation:

sorry if its wrong

7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.

Answers

Answer:

$240

Step-by-step explanation:

Original price: p

discount 25% (multiplier: 0.75)

sale price: $180

p x 0.75 = 180

p = 180/0.75

p = 240

Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?

helppp

Answers

Answer:

we simply do  -   55,000*105/100

Which is 55,000*1.05

And that is 57750

So his new salary is $57750

Thanks and mark me brainliest becuz i have good answer :)

The length of a bed would be about

Answers

Answer:

2 yards.

Step-by-step explanation:

We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.

Answer:

2 yards

Step-by-step explanation:

The question is asking what the length of a bed would be.

To answer this question, it's basically common sense, how long is a bed usually, it would be about 5 to 10 feet, big enough to fit a human with no uncomfortability.

So with this info, we can scratch D and B. As for A and C, let's convert them into feet.

1 yard equals 3 feet, meaning two yards would be 6 feet.

1 mile is 5280 feet, this is obviously wrong.

A is our answer.

please help i dont know 7th grade math cry

Answers

Vertical angles are always equal, so you can set them equal to each other.

3x + 8 = 35

3x = 27

x = 9

Answer:

so.. this means that they're equal...

so.. 8 + x = 35

u need to solve for x...

so u do, 35 - 8 = 27

so it would be..

and 27 divide 3 = 9

so x = 9

so the equation would be...

(3 x 9 + 8) = 35

SO, the answer is 9

Step-by-step explanation:

can I have brainliest please? hee hee

-2(3x-4)+3x=17 solve for x

Answers

x=-3

-6x + 8 + 3x = 17

-3x + 8 = 17

-3x = 17 - 8

-3x=9

x=-9/3

x=-3

Can you conclude that these triangles are congruent?

Answers

Answer:

yes

Step-by-step explanation:

each side is length by with so you can tell these are congruent

Answer:

Yes

Step-by-step explanation:

The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.

Estimate 0.95% of 700

Answers

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.


What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ6

What is the slope of the line?
y + 2 = -2 ( x - 3 )
A: -1/2
B: -2
C: 1
D: -1

Answers

D:) o b what ? you very whell

Step-by-step explanation:

A b. d. c

Answer:

The answer is -2

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

need help with this ​

Answers

9514 1404 393

Answer:

f(-2) = 2f(0) = 4

Step-by-step explanation:

a) Locate the point -2 on the x-axis. Follow the line up until it meets the blue curve. Follow that grid line to the right to see where it meets the y-axis. It is y=2. That means f(-2) = 2.

__

b) Locate y=4 on the y-axis. Notice that the curve intersects the y-axis there, so x=0.

x = 0 is the only value of x for which f(x) = 4.

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

.................

compare by using < > or = between the pairs of numbers l - 8l ____ l2l


here are 15 points if you help me lovely person ;)

Answers

Answer:

It is >

Step-by-step explanation:

because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2

Can someone help me.

Answers

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

Factor completely by grouping: 6x² + 2x + 9x +3
is

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

6x² + 2x + 9x +3

(6x² + 2x) + (9x +3)

2x (x+1) + 3 (x+1)

(2x+3)(x+1)

Answer:

(3x+1) ( 2x+3)

Step-by-step explanation:

6x² + 2x + 9x +3

Make the groups

6x² + 2x     +   9x +3

Factor 2x out of the first group  and 3 out of the second group

2x( 3x+1)   + 3(3 x+1)

Now factor out the common term inside the parentheses

(3x+1) ( 2x+3)

Evaluate 3n + 4^2 when n = 2

Answers

Answer:

22

Step-by-step explanation:

3n + 4^2

n = 2

3(2) + 4^2 = 6 + 16 = 22

Which of the following best describes the equation below? y = 5x2 - 7 A. neither linear nor nonlinear B. linear C. both linear and nonlinear D. nonlinear

Answers

Answer:

D

Step-by-step explanation:

the answer is

Nonlinear

Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36

Answers

Answer:

C. log7 36....................................

The given logarithmic expressions together can be written as log₇ 36

What is a logarithmic function ?

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

= log₇(2 x 6) + log₇3

= log₇ 36

We have the result

log A + log B =  log AB

Here the question is log₇(2 x 6) + log₇3.

Using the property of logarithm we will get,

= log₇(2 x 6) + log₇3

= log₇(2 x 6 x 3)  

= log₇ 36

So,   log₇(2 x 6) + log₇3 = log₇ 36

To know more about Logarithmic function check:

https://brainly.com/question/27389970

#SPJ6

Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78

Answers

The answer is : C. 37.87

Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?

Answers

Answer:3320

Step-by-step explanation:

8.

Find the slope of the line.

A. 0
B. -2
C. Undefined
D. 2

Answers

Answer:

C. Undefined

Step-by-step explanation:

Input Data :

Point A  

(

x

A

,

y

A

)

= (2, 5)

Point B  

(

x

B

,

y

B

)

= (2, -2)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

y

A

x

B

x

A

Solution:

Slope

 

m

=

2

5

2

2

=

7

0

m = -INF

Answer:

The answer is C (Undefined)

Step-by-step explanation:

A vertical slope is undefined because it rises and never runs up/down is rise and left/right is run. Rise/Run. 4/0. Four divided by zero is undefined while 0 divided by 4 is zero.

Which expression can be used to solve 3/5 ÷ 7/10. A. 5/3×7/10 B. 5/3×10/7 C. 3/5×10/7 D. 3/5×7/10

Answers

Answer:

3/5 * 10/7

Step-by-step explanation:

To solve division of fractions

3/5 ÷ 7/10

Use copy dot flip

3/5 * 10/7

Answer:

C) 3/5 x 10/7

Step-by-step explanation:

In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.

Answers

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

will a one variable equation always have only one solution

Answers

Answer:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. ... Therefore, the equation is always true.

Step-by-step explanation:

We want to see if a one-variable equation always has only one solution.

This is false, as one-variable equations can have no solutions or more than one solution.

So we start with the statement:

"A one-variable equation always has only one solution".

We need to find a counterexample to prove that this is false, and there are really easy counterexamples, like:

x^2 - 4 = 0

This is a one-variable equation, and solving it we have:

x^2 = 4

x = ± √4 = ±2

So here we have two solutions, 2 and -2, thus the statement is false.

If you want to learn more, you can read:

https://brainly.com/question/16797952

What is the value of x? ​

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

c = x

x^2 = a^2 + b^2

x^2 = 24^2 + 7^2

x^2 = 576 + 49

x^2 = 625

x = 25

How do I factor -2y+2y^2-24

Answers

Well this is a quadratic equation so.
First we rearrange it
2y^2-2y-24
2y^2-2y-48
2y^2-8y+6y-24
2y(y-4)+6(y-4)
(2y+6)(y-4)
2(y ^2-13) is it factored

Help, I'm bad at math XD

Answers

1. x = 28

2. x = 13

3. x = 11

4. x = 50

5. x = 53

6. x = 77

7. x = 5

8. x = 70

Is 4x+1=f(x) a quadratic function?

Answers

Answer: no

Step-by-step explanation:

the x has to be squared to form a parabola with a vertex and 2 x intercepts

Other Questions
Describe the events that took place during Lexington and Concord. What is the seam called that forms when two microcontinents join together? An electron, tial well may be anywhere within the interval 2a. So the uncertainty in its position is x= 2a. There must be a corresponding uncertainty in the momentum of the electron and hence it must have a certain kinetic energy. Calculate this energy from the uncertainty relationship and compare it. The Opera based on an Ancient Greek drama was for what purpose?A.) CeremonialB.) Recreational Simpify the expression.5+4z-2zSimpilfied expression How many pounds are equal to 400 ounces In rectangle PQRS, SP = 3 and RS = 4. What is the length of PR? (Hint: usethe Pythagorean theorem to solve for the diagonal) * The First Amendment says that the government cannot make laws that take away a person's freedom of speech. What does it say about laws about religion?Questions Glen has a flower Garden with an area of 24 square feet. He is adding a square vegetable garden with a side length of x feet. The total area, in square feet, of these two gardens will be x2+24. What will the total area, in square feet of the garden when x = 9A. 35 B. 42 C. 105 Which of the following would not be a good supporting sentence for anillustration paragraph with the following topic sentence?I have never seen a person so committed to a cause. (Ratio Computations and Effect ofTransactions)Presented below is information related to Carver Inc.CARVER INC.Balance SheetDecember 31, 2007Cash$45,000Notes payable (short-term)$50,000Receivables$110,000Accounts payable32,000 Less: Allowance15,00095,000Accrued liabilities5,000Inventories170,000Capital stock (par $5)260,000Prepaid insurance8,000Retained earnings141,000Land20,000Equipment (net)150,000$488,000$488,000CARVER INC.Income StatementFor the year ended December31, 2007Sales$1,400,000Cost of goods sold Inventory, Jan. 1, 2007$200,000 Purchases790,000 Cost of goods available forsale990,000 Inventory, Dec. 31,2007170,000 Cost of goods sold820,000Gross profit on sales580,000Operating expenses170,000Net income$410,000Instructions(a) Compute the following ratios orrelationships of Carver Inc. Assume that the ending accountbalances are representative unless the information providedindicates differently. (Round answers to 2 decimalplaces.)Current ratio. timesInventory turnover. timesReceivables turnover. timesEarnings per share. $Profit margin on sales. %Rate of return on assets on December 31, 2007. %(b) Indicate for each of the followingtransactions whether the transaction would improve, weaken, or haveno effect on the current ratio of Carver Inc. at December 31,2007.Write off an uncollectible account receivable, $2,200.Purchase additional capital stock for cash.Pay $40,000 on notes payable (short-term).Collect $23,000 on accounts receivable.Buy equipment on account.Give an existing creditor a short-term note in settlement ofaccount. Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)7-5255 A cat pushes a 0.25-kg toy with a net force of 8n. According to Newton's second law of motion, what is the acceleration of the ball? Martina is building a fence around her garden. For every 4 feet of fencing, the cost is $32.Complete the table below showing the length of the fence and the cost.Length of fencing (feet) the sum of 8 and B is greater than 22 - Cuales son los recursos no renovables HELP ASAPP!! ILL MARK YOU THE BRAINLIEST Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house? AVALIAO DIAGNSTICAResolva os problemas abaixo1) O quilo do feijo que custava R$ 3,90 teve um aumento de 70% Oual o novo preo do quilo dofeijo?2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentualde aumento do aluguel dessa casa help meh im not smart with 6th grade math