how would you differentiate this problem using the quotient rule?

How Would You Differentiate This Problem Using The Quotient Rule?

Answers

Answer 1
rewrite the square root of X as X^ 1/2. Then take the derivative. Since 1/3 is a constant with respect to X you can pull that out. So, you should have
1/3 d/dx [ (2x^2-x^5)/3x^1/2].

Then factor x^2 out of 2x^2-x^5.

Then by using the negative exponent rule you should have

1/3 d/dx [ x^2(2-x^3)x^-1/2 ]

Then multiply x^2 by x ^-1/2 by adding the exponents.

1/3 d/dx [ x^3/2 (2-x^3)]

Then differentiate.

You should get x^1/2 - (3x^7/2)/2.

I hope that helps.

Related Questions

I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^

"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)

Answers

Answer:

x + y = 11

10x + 5y = 80

Step-by-step explanation:

Which is a solution to 2x + 1 = 21?

Answers

Answer:

x = 10 is your answer

- Explain -

Step 1: subtract 1 from both sides (subtraction of equality)

which will give us:

2x = 21 - 1

which equals to

2x = 20

Step 2: Divide both sides by 2

which is

2x/2 = 20/2

2/2 = 1 and 20/2 = 10

Therefore the answer is x = 10

What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0

RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81

Answers

Answer:

is C=64

Step-by-step explanation:

Answer:

c=64

Step-by-step explanation:

I took the test

factorise 2x cube minus 3 x spuare minus 17 X + 30​

Answers

hello,

here is your answer:

**********

2x³ - 3x² - 17x + 30

(2x³ - 3x²) (- 17x + 30)   [group the terms]

(2×x×x×x - 3×x×x) (1×-17×x + 1×30)   [find common factors]

(2x - 3) 1 (-17x + 30)   [separate the common factors]

ans: x² (2x - 3) 1 (-17x + 30)

You can verify the answer by multiplying it, you should be able to get the expression we started with (2x³ - 3x² - 17x + 30).

**********

hope this helped,

:)

Find the mean? Read question rest is done.

Answers

Answer:

I believe its 8

Step-by-step explanation:

9 + 10 + 13 + 2 +6 = 40 / 5 = 8

Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?

Answers

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42

*pls help*
solve 7,8,9, and 10 for brainliest

Answers

Answer:

#8 : x=15−y

#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]

#10: y=2A−x

#7: T=[tex]\frac{P}{IR}[/tex]

Step-by-step explanation:

What is the value of x?
8
70°
Enter your answer in the box.
30
10
X=

Answers

X=80°
A triangle’s angle measurements always add up to 180°. So 180-70-30=80
X=80*
The other person has it correct

Need Help ASAP only correct answers. Working on it now. Took a picture. question: Figure ABCDE is the result of a 180° rotation of figure LMNOP about the point. Which angle in the pre- image corresponds to <D in the image? Enter your answer in the box.​

Answers

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In  Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

I need help to get to 8.9 I need help to figure out the numbers for the empty boxes.

Answers

Answer:

Bottom row from left to right we have 0.4 0.3 0.3 0.1 0.5 0.5 Second row from right to left 0.7 0.6 0.4 0.6 1 On the Third row from right to left 1.3 1 1 1.6 On the Fourth row 2.3 2 2.6 On the Fith row 4.3 and 4.6 The last Row also the highest 8.9

Step-by-step explanation:

you take two numbers right and left add them and put the answer in the box above and in between

When 40% of a number is added to twice the number, the result is 88. What is the number?

Answers

17.6 because you do the working out backwards :)

Answer:

36.67 or 36 and 2/3

Step-by-step explanation:

.4x + 2x = 88 divide by .4

x + 5x = 220 add like terms

6x = 220 divide by 6

x = 36.67 or 36 and 2/3

2. An advertiser wants to find convincing evidence that television viewers
remember more than 4 commercials, on average, after watching a 30 minute TV
program. They take a random sample of 100 television viewers and ask them
how many commercials they could remember after watching a 30 minute TV
program. The appropriate t-test was conducted, which resulted in a P-value of
0.15. Assuming all conditions were met, which of the following is an appropriate
conclusion?
(A) Because the P-value is less than 0.05, at the 5% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(B) Because the P-value is greater than 0.05, at the 5% significance level, there is
convincing evidence that television viewers remember fewer than 4 commercials, on
average, after watching a 30 minute TV program.
(C) Because the P-value is greater than 0.01, at the 1% significance level, there is not
convincing evidence that television viewers remember more than 4 commercials, on
average, after watching a 30 minute TV program.
(D) Because the P-value is greater than 0.01, at the 1% significance level, there is
convincing evidence that television viewers remember exactly 4 commercials, on
average, after watching a 30 minute TV program.
(E) Because the P-value is less than 0.01, at the 1% significance level, there is convincing
evidence that television viewers remember fewer than 4 commercials, on average, after
watching a 30 minute TV program.​

Answers

Answer:

C

Step-by-step explanation:

The MARS Candy Company claims that every 1.69 oz. bag of Plain M & M's has 54 M & M's in it. To test this claim, you buy 50 packs of 1.69 oz. plain M & M's and found that the average number of M & M's of the sample was 49. State the null hypothesis.

The mean 1.69 oz. bag of plain M&M's has 54 M&M's or greater

The mean 1.69 oz. bag of plain M&M's has less than 54 M&M's

The mean 1.69 oz. bag of plain M&M's has 50 M&M's or greater

The mean 1.69 oz. bag of plain M&M's has 49 M&M's or greater

Answers

the answer would be either bnor c

What is the surface area of the rectangular prism?

Answers

Answer:

A = 348

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is:

A = 2(wl + hl + hw)

Plug in the numbers accordingly:

A = 2(6 · 9 + 8 · 9 + 8 · 6)

A = 2(54 + 72 + 48)

A = 2(174)

A = 348

A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3

Answers

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

yoyoyoyooyyoyoyoyyyoy I need help plz someone

Answers

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

AB

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14 units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Evaluate the expression below for x = 2, y = –3, and z = –1.

A.

–23

B.

–5

C.

13

D.

27

Answers

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

Find the measure of angle U

Answers

Answer:

30 degrees

Step-by-step explanation:

first you have to find angle TSU which is 70 degrees

you get this my doing 180 - 110

then you add up all the angles in the triangle

so, 80 plus 70

you get 150

then you do 180 - 150 and get 30 degrees

find the solution of this system of equations
-10x-6y=0
-4x-6y=54
Should be an answer like 0,0

Answers

Answer:

(9, -15)

Step-by-step explanation:

First, label the 2 equations:

-10x -6y= 0 -----(1)

-4x -6y= 54 -----(2)

(2) -(1):

(-4x -6y) -(-10x-6y)= 54 -0

-4x -6y -(-10x) -(-6y)= 54 (expand, simplify)

-4x -6y +10x +6y= 54 (expand)

10x -4x= 54 (simplify)

6x= 54

x=54 ÷6

x= 9

susbt. x=9 into (1):

-10(9) -6y=0 (subst. x=9 into -10x-6y=0)

-90= 6y (bring y term to the other side)

6y= -90

y= -90 ÷6

y= -15

Thus, the solution is (9, -15).

The value of X is 9.

The value of y is -15.

Look at the attached picture

Hope it will help you

Good luck on your assignment

math question down below

Answers

Answer:

560 is the area

Step-by-step explanation:

20x10 = 200 + the 30x12 = 560 comment if you need further explanation

What is the range of the relation?
[(-4,3), (-4,4), (-3,1), (1,1)]

A)
{-4,-4, -3, 1}
B)
{-4, -3, 1}
C)
{1, 1, 3, 4}
D)
{1, 3, 4}

Answers

A because ur is the closest and in the range order

Determine whether each table defines the variable b as a function of the variable a select yes or no for each table

Answers

Answer:

no

no

yes

Step-by-step explanation:

the first two tables have inputs which solve for more than one output which means they are not functions

Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)

t= 4π/3

Answers

Answer:

undefined

Step-by-step explanation:

Brice has twice as many stamps in his collection as his friends Anthony and Paul
combined. Paul has 32 stamps in his collection Brice has 96 stamps in his
collection. How many stamps does Anthony have in his collection?
The equation 2(x +32)=96 models this situation. Which choice
shows the sequence of operations needed to solve this problem, using
both arithmetic and algebra?

Answers

Answer:

It would be the first one in the picture

Step-by-step explanation:you would divide 96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16. plz give brainly

4x2 + 4x =- 4
Find the solutions to the Quadratic equation.

Answers

Answer:

x=-3

Step-by-step explanation:

(4)(2) + 4x = -4

                   multiply the 4 and 2

8 + 4x = -4

                   subtract 8 from both sides

4x = -12

                   divide both sides by 4

x = -3

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Isolate x's

4x² - 4x + 1 = 0

Step 2: GCF

4(x² - x + 1/4) = 0

x² - x + 1/4 = 0

Step 3: Factor

(x - 1/2)² = 0

Step 4: Solve

√(x - 1/2)² = √0

x - 1/2 = 0

x = 1/2

And we have our final answer!

Step-by-step explanation:

List three values that are solutions to the inequality 2x ≥ 10

Answers

Answer:

x=5 x=8 x=10

explanation:

anything greater than 5 would make the inequality true because 5×2=10

The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35

Answers

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

What is 1/4 of 697 rounder to the nearest integer

Answers

Answer:

rounder to the nearest integer is 174

Step-by-step explanation:

1/4 of 697 = 174.25

0.25 is under 0.50

Answer:

174

Step-by-step explanation:

Someone please help me!

Answers

Answer:

18.5

Step-by-step explanation:

You are given the opposite side, and need to find the hypotenuse, leading you to use sine.

Set it up, like so:

[tex]sin67=\frac{17}{x} \\[/tex]

Multiply everything by x, to remove it from the denominator:

[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]

Divide both sides by sin67:

[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]

Round to nearest tenth:

x = 18.5

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