Rewrite the function, differentiate, and then simplify

y= 3/√x

Answers

Answer 1

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]


Related Questions

The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the larger sphere.

Answers

Answer:

45 in

Step-by-step explanation:

Given 2 similar figures with ratio of radii = a : b , then

ratio of volumes = a³ : b³

Here ratio of volumes = 8 : 27 , then

ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3

let r be the radius of the larger sphere then by proportion

[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )

2r = 90 ( divide both sides by 2 )

r = 45

The radius of the larger sphere is 45 in

plz help i give brainlist !!!!!!!!!1 help now please

Answers

Answer:

option 3

Step-by-step explanation:

The answer is option 1

Which triangle is congruent to ABC?

Answers

Answer:

c

Step-by-step explanation:

the awnser is c

The triangle in option (D) follows the property of congruence triangle.

Therefore option (D) is correct.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given triangle ABC,

Two sides AB, and BC are given.

And two angle B and C are shown.

To find the triangle which is congruent to ABC,

Use Angle-side-Angle property,

According to ASA property,

One side and two angles should be equal.

The triangle in option (D) shows the ASA property.

Hence, option (D) is correct answer.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Find area of the shaded segment vb and length of vb

Answers

Answer:

Area of length Vb = 25 square units

Area of segment Vb  = 26 square units

Step-by-step explanation:

Area of length Vb = theta/360 * 2πr

Area of length Vb = 120/360 * 2*3.14 * 12

Area of length Vb = 1/3 * 75.36

Area of length Vb = 25 square units

Ares of length Vb is 25.1 sq. units

Area of shaded portion = Area of sector VUB - Area of triangle VUB

Area of sector VUB = theta/360 * πr²

Area of sector VUB = 120/360 * 3.14*144

Area of sector VUB = 1/3 * 452.16

Area of sector VUB =150.72

Area of triangle VUB  = r²sintheta

Area of sector VUB = = 12²sin 120

Area of sector VUB = = 144(0.8660)

Area of sector VUB = 124.71

Area of the shaded segment = 150.72 - 124.71

Area of the shaded segment = 26.01

Area of the shaded segment = 26 sq. units

Solve by using substitution.

=3−8

=−4

Answers

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

A ball and a bat cost £90 in total. Three balls and two bats cost £210 in total. How much
does a bat cost?
Submit Answer

Answers

Answer: 60

Step-by-step explanation:

ball =x

bat = y

x + y = 90

and

equation II is

3 x + 2 y =210

By multiplying by 3 to equation I both sides

we get equation III as

3( x + y) = 3 ( 90 )

3x + 3y =270 III

subtract II and III

we get 3x+3y=270

- 3x+2y=210

--------------------------

0+y= 60

y =60

cost of bat is y ie = 60

and cost of ball ,is

let put value of y in equation I

x+60=90

x=90-60

x=30

cost of ball is 30

if n = 3a - 6 which inequality below will make n a positive number

Answers

Answer:

Step-by-step explanation:

Help please!! Quickly!!

The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.

Answers

Answer:

Length = 10 yards Width = 5 yards

Step-by-step explanation:

2w x w = 50 yards²

2w² = 50 yards²

2w²/2 = 50 yards² / 2

[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]

w = 5

Area = l x w

= 10 x 5 = 50

length = 2w

width = w

length = 2(5)

length = 10 yards

What is the volume of this Triangular Prism?

Answers

Step-by-step explanation:

V = 0.5 X b X a X h

V = 0.5 × 5 × 4.3 × 14

V = 150.5in

Type the missing number in this sequence: 90, 78, 72, 66, 60, 54​

Answers

Answer:

48

Step-by-step explanation:

minus 6 every number

ace please help

plss​

Answers

Answer: C $25

HOPE THIS HELPS

Need this question completed as soon as possible! Please!

Answers

Answer:

B is the answer

Step-by-step explanation:

I converted each option to decimals so answer b looks like

2.25> 2.23> -2> -2.2

How many different meal combinations can she make in all

Answers

I think it would be D.36


[tex] \sqrt{25} + \sqrt{16} = [/tex]
Tell me what the answer is

Answers

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

Now,

√25 + √16

5 + 4 = 9

Thus, The answer is 9

-TheUnknownScientist

Answer:

9

Step-by-step explanation:

First step is to simplify the radicals

√25=5

√16=4

5+4=9

PLS HELP I WILL GIVE OUT BRAINILEST!!!!!

Answers

Yes it’s proportional and 100 boxes in 4 minutes

A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units

Answers

Answer:

6×36=216.I hope the answer is correct. I will be happy when I get 5 points

Answer:

Step-by-step explanation:

Parallelograms 1 and 2 are similar. The perimeter of parallelogram 1 is 12 centimeters and the perimeter of parallelogram 2 is 18 centimeters. 2 y What is the ratio Y : Z?
1. 9:4
2. 4:9
3. 2:3
4. 3:2​

Answers

Answer:

You can set up the ratio 12.4:18.6 because it says that the parallelograms are similar.

Now simplify as much as possible

12.4:18.6

6.2:9.3

2:3

Step-by-step explanation:

Hope this helps! If it's wrong let me know so i can re-check it.

how to finish homework in a short period of time…??????????:$3$; i’m desperate lol

Answers

Answer:

breath <3 Im in the same boat rn just calm down and believe in yourself

Step-by-step explanation:

get some snacks play music and relax

hope this helps <3 : )

find the surface area of the prism

Answers

Answer:

Total surface area is 94 ft^2

Now,

T.S.A = 2 ( lb + bh + lh )

= 2 ( 3*5 + 5*4 + 3*4 )

= 2 ( 15 + 20 + 12 )

= 2 * 47

= 94 Sq. ft

This is Right Answer.....

I hope you understand....

I NEED THIS TOMORROW AT THE LATEST! ITS FOR A 100 POINT TEST AND IM FALLING MATH SO PLEAS HELP!!!! SOS

Evaluate the expression for the given value.

2w+2l when w=7, l=5

Answers

Answer:

Solution given:

we have

2w+2l

when w=7, l=5

2w+2l=2×7+2×5=14+10=24

Step-by-step explanation:

hope it is helpful to you

PLEASE I NEED HELP ASAP!!!?

Answers

Answer:

11√3-7√6

im good at these, just hit me up if you need more help ;)

Complete the paragraph to show how you can solve problems involving equivalent expressions.

_______________with bar models or algebra tiles to determine if the expressions are_________.You can also write equivalent expressions using_________________________and order of operations.


Blank 1 options.
Evaluate the variables.
Model the expressions.
Follow the order of operations.
Use numerical expressions.
Blank 2 options.
Mathematical.
Solvable.
Equivalent.
Theoretical.
Blank 3 options.
Properties of expressions.
Numerical expression.
properties of operations.
Variable expressions.

Answers

Answer:

Step-by-step explanation:

Model the expressions

with bar models or algebra tiles to determine if the expressions are

Equivalent.

You can also write equivalent expressions using

properties of operations

and order of operations.

Answer:

Step-by-step explanation:

Blank 1

Model the expressions.

Blank 2 options.

Equivalent.

Blank 3 options.

properties of operations.


Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Answers

Answer:     B) 43, 133, 89

===========================================================

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

-----------------

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

B is the answer to this question

what's the value of x?

Answers

Answer:

x=40

Step-by-step explanation:

Reflections have to be equal to each other.

Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.

If this helps please mark as brainliest

Answer:

X=40   pls mark brainlist it would really help

Step-by-step explanation:

3x-6 must equal 114. So...

3x-6=114

+6      +6

3x=120

/3     /3

x=40

Here are the last questions from my previous post!

Answers

Answer:

1 - C (38 cm)

2 - A (13)

3 - C (4x + 44 = 180)

Step-by-step explanation:

A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?

Answers

The cyclists average speed would be 15 miles an hour

Anyone know how to do this?? I need help plss!!! Tyyy!!

Answers

the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0

Step-by-step explanation:

f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !

В.
Julie is making a banner shaped like a
parallelogram with a base of 8. feet and
a height of 6 feet. How many square feet
of material will Julie need for the banner?

Answers

Answer: 3 Aheught of 6 feet

HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

I think it’s option 1 (if its wrong Im sorry but good luck)

No links, ty <3
4. At a store, 3 bags of peanuts were sold for $18. Determine if each statement has the same unit rate as the original statement or a different unit rate. Check a box for each statement to indicate “Same unit rate” or “Different Unit Rate.”

boxes are In a pic

Answers

Answer:

sAy yOu aRe mY bAkA

Step-by-step explanation:

ty for the points <3

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