use the quotient rule to find the derrivatives of 3/x^2​

Answers

Answer 1

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³


Related Questions

6th grade math help me plzzzz

Answers

Answer:

E. would be your answer

Step-by-step explanation:

ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.

PLEASE HELP ME ITS DUE IN LIKE 10 MINS OMG

Answers

The slope is equal to 5/2.

ASAP! please help, thanks​

Answers

Answer:

d should be correct

Step-by-step explanation:

prove me wrong

d is the right answer

The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.

Answers

Answer:

Step-by-step explanation:

The diameter is 13 and the radius is 6.5

78=6 f please help solve ion have much time

Answers

Answer:

hii

Step-by-step explanation:

Express in the form n : 1
9:3​

Answers

Answer:

n =3

hope it helps

Answer:

3:1

Step-by-step explanation:

cut by 3

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

Find X.
Math it’s.com

Answers

Answer:

value of x = 8

Step-by-step explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer:

x = [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is

[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]

how do you differentiate more and more than? can these terms be used in mathematics? how?​

Answers

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.

What is the value of x, the side length of Square 2?

Answers

X=12 ( I using the pic is easier)

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?

Answers

Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

Can i have some help please

Answers

Answer:

bababooey

Step-by-step explanation:

The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year. ​

Answers

Given:

Current population = x

The population of a city is expected to decrease by 6% next year.

To find:

The expression that represents the expected population next year. ​

Solution:

We have,

Current population = x

Decrease rate = 6%.

Expected population next year = Current population - 6% of Current population

                                                    =[tex]x-\dfrac{6}{100}x[/tex]

                                                    =[tex]x-0.06x[/tex]

                                                    =[tex]0.94x[/tex]

Therefore, the expression for the expected population next year is 0.94x.

FMFWE,KFJWKJWKLEJWLKERJWLKRJLWKERJLWRJLWRJLWERJWERJWLKRJWERJWLE

Answers

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

yall please help me with this math question :/​

Answers

3 chocolates bc it’s going up by 3 each time it escalates

Evaluate 6x - 4y when x = 5, y = 2

Answers

Answer:

22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right

Step-by-step explanation:

6.x=

6.5=30

4.y=

4.2=8

6.5=30 4.2=8

30-8=22

(4, 2); slope = 3
write the equation of the line

Answers

Answer:

y=3x-10

Step-by-step explanation:

I WILL GIVE YOU BRAINLY PLSS



There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143


PLSS SHOW YOUR WORK PLS

Answers

Answer:

B. 143

Step-by-step explanation:

Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.

5x-3 =2x+15
Someone pls help for geometry

Answers

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

i) move 2x to the left-hand side and change its sign

5x-2x-3 = 15

ii) move -3 to the right-hand side and change its sign

5x-2x = 15+3

iii) collect like terms

3x = 15+3

iv) add the numbers

3x = 18

v) divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]

[tex]x = 6[/tex]

Helppppl +13 points & +star

Answers

Answer:

hope it helps

Step-by-step explanation:

...........

HELP PLS ill mark u brainliest

Answers

Answer:

11

Step-by-step explanation:

Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.

Answer:

The person above me is right

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.

Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .

Answers

Answer:

70

Step-by-step explanation:

pls help you i’ll give brainliest

Answers

The answer is 6+(-4) = 2

Answer:

2

Step-by-step explanation:

it's just like saying 6-4 is two a negative is like a positive

3x+18=3(x+6)please help

Answers

The correct answer is 0

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

Anyone knows this please help me

Answers

Answer:

(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

19 = 4x + 3 *
Plz, help me with this!

Answers

Answer:

x=4

Step-by-step explanation:

19 = 4x+3

Subtract 3 from each side

19 -3 =4x+3-3

16 = 4x

Divide each side by 4

16/4 = 4x/4

4 =x

Answer:

x=4

Step-by-step explanation:

19= 4x+3

19-3= 4x

16= 4x

x= 16/4= 4

x= 4

hope it helps! please mark me brainliest

thank you!! have a good day ahead

how much longer is a 1 -inch button than a 3/8 -inch button

Answers

Answer:

5/8

Step-by-step explanation:

i took the quiz

4 months to 8 years in ratio

Answers

Answer:

4:96

Step-by-step explanation:

It has to be the same kind of thing so...

1 year is 12 months

8 * 12 = 96

Answer:

4 months : 8 years

reduced...

1 month : 2 years

Step-by-step explanation:

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