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))

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Related Questions

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

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

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.

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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

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

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:

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:

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 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

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.

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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

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

ratio 11 to 6 in perimeter

Answers

Answer: the answer will be 6/4

Step-by-step explanation:

Can someone help me.

Answers

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

-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

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:

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

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! :)

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

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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 :)

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)

HELP! 6th grade work due today pleaseeeeee

Answers

Answer:

s = 5 feet

Step-by-step explanation:

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

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.

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.

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

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

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.

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

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

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.

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