1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shepuryov [24]
2 years ago
11

What the second answer ​

Mathematics
1 answer:
Debora [2.8K]2 years ago
6 0

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

You might be interested in
Can you show how you did it?<br> 8.31 - 3.43 =
d1i1m1o1n [39]

Answer:

4.68

Step-by-step explanation:

Remember to line up the decimal point. Subtract as ordinarily.

8.31

-3.43

--------

4.68

4.68 is your answer

~

7 0
3 years ago
Tori examined the pattern of exponents in the table.
vichka [17]

Answer:

The answer is actually B, C, and E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Terry skated 2 miles in 1/2 hour. what is the unit rate that she skates
nekit [7.7K]
4mph
4 miles per hour
3 0
3 years ago
Read 2 more answers
Please help me with this question:)!
Georgia [21]

Answer:

i think so option b is the correct option.

Step-by-step explanation:

because 3+7=10 not 11.

6 0
3 years ago
HELP!!! DUE TOMORROW!!!
mixer [17]
I think you should try your best and just never get but just always keep trying because if you give up that means you're not track so just keep trying and get it right.
6 0
3 years ago
Other questions:
  • I am less than 80 and greater than 75 if you add the digits the sum is 13 what number am I
    11·2 answers
  • On a recent trip, sarah's car traveled 20 mph faster on the first 110 miles than it did on the remaining 80 miles. the total tim
    12·1 answer
  • 2x+3=-7 what does x equal
    5·1 answer
  • 12.
    9·2 answers
  • Please help me!! It's some sort of PreAP math stuff
    14·1 answer
  • I am an odd number between 10 and 20. I can be divided by 3. What number am I?
    8·2 answers
  • Shawn uses 45N of force to stop the cart 1 meter from running his foot over. How much work does he do?​
    7·2 answers
  • 5^{x+1}-5^{x+2}=-2500. Find x
    12·1 answer
  • is there a relationship between exterior angles that lie on the same side of a transversal? interior angles that lie on the same
    11·1 answer
  • What is a fraction that is more than 1/10 but less than 1/2
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!