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
Simora [160]
2 years ago
8

Find the second derivative of 2x^3-3y^2=8​

Mathematics
1 answer:
Umnica [9.8K]2 years ago
5 0

Answer:

\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}

Step-by-step explanation:

<u>Find the first implicit derivative using implicit differentiation</u>

<u />2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}

<u>Use the substitution of dy/dx to find the second derivative (d²y/dx²)</u>

<u />\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}

You might be interested in
Ramal filled 3 pages in a stamp album. This is one sixth of the pages in the album. How many pages are three in Ramal's stamp al
kumpel [21]
Let the total be x
1/6x=3
x/6=3
x=18
therefore Ramal's stamp has 18 pages

6 0
3 years ago
Help! I need work too. I have a test tomorrow and I don't know how to solve this.
sleet_krkn [62]
20        7
----- = ------
100      x

100 x 7 = 700
700/20 = 35
X = 35
5 0
3 years ago
Read 2 more answers
A set of headphones takes 5 minutes to charge up to 3 hours play. What is the unit rate?
Burka [1]

Answer:

1.666667 headphones per hour (simplify this)

Step-by-step explanation:

divide the top and bottom by 3 and you should get your answer

4 0
2 years ago
300/28 in simplest form
lesantik [10]

<u><em>Answer:</em></u>

The reduced form of  

300 /28  is  75 /7

<u><em>Steps to simplifying fractions: </em></u>

Find the GCD (or HCF) of numerator and denominator

GCD of 300 and 28 is 4

Divide both the numerator and denominator by the GCD

300 ÷ 4

28 ÷ 4

<em><u>Reduced fraction:  </u></em>

75 /7

8 0
3 years ago
Read 2 more answers
Write an equation for your trend line?
Soloha48 [4]
Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.

Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8

Then set up the "point-slope form":
y - y0 = m * (x - x0)

You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
y0 = 10

Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)

The above equation will work fine for an answer, but let's go a step further and solve for y.

y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8
4 0
3 years ago
Other questions:
  • How to multiply in a easier way?
    12·2 answers
  • A machine can print 80 shirts in 10 minutes.find the number of shorts the machine can print an hour ?
    9·2 answers
  • I really need help please
    6·1 answer
  • If circle c has a radius of 32 units, whats is the area ?
    14·1 answer
  • The answer is 55. You need to use the rules above to find the actual measure for angle b
    12·2 answers
  • PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!
    10·1 answer
  • The waiter made $5 per hour plus twenty percent of his table’s bills in tips. If he worked for 5 hours and the total of his tabl
    15·1 answer
  • Which of the following is a perfect cube?<br> A. 243<br> B. 143<br> C. 443<br> D. 343
    10·2 answers
  • Can someone help and explain this to me?
    5·1 answer
  • What can you determine from the tape diagram
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!