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
Sauron [17]
2 years ago
13

Y is a differentiable function of x. Choose the alternative that is the derivative dy / dx.

Mathematics
1 answer:
murzikaleks [220]2 years ago
3 0

Differentiating both sides of

x^3-y^3=1

with respect to <em>x</em> yields (using the chain rule)

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 3y^2\dfrac{\mathrm dy}{\mathrm dx} = 3x^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{3x^2}{3y^2} = \dfrac{x^2}{y^2}

The answer is then D.

You might be interested in
What times what equals 18
lions [1.4K]
9 x 2 = 18
6 x 3 = 18
and 18 x 1 = 18

8 0
3 years ago
Read 2 more answers
Select each figure that appears to be a rectangle. You must select all that apply.
Archy [21]

Answer:

Step-by-step explanation:

i Believe its A. B. And D. But i could be wrong

4 0
2 years ago
Read 2 more answers
A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil
tatiyna

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

4 0
3 years ago
A quarter is what fraction of a dollar
Shkiper50 [21]
Well, a quarter is worth .25 And a dollar is 1.00
So .25 out of 1.00 equals 1/4
Since it takes 4 quarters to make a dollar, and you have 1 quarter.
~Hope this helped
7 0
3 years ago
Read 2 more answers
Solve and please show work all of the work pls i smol brain tysm
Luden [163]

Answer: x=-7

Step-by-step explanation: hope this help :)

4 0
2 years ago
Other questions:
  • A study is conducted to determine whether sunshine affects depression. Eight individuals are given a questionnaire measuring dep
    12·1 answer
  • Help please math really fast asap
    5·2 answers
  • A trap for insects is in the shape of triangular prism. The area of the base is 3.5 inches and the height of the prism is 5 inch
    10·1 answer
  • What is the solution to the equation above
    5·1 answer
  • Hi! Can someone please help me, I would appreciate it!
    8·1 answer
  • While sitting on a rooftop 95 feet off the ground Mary flicks a twig up and off of the ledge with the initial vertical velocity
    10·1 answer
  • Tina wants to run 123 miles over
    14·2 answers
  • Happy Earth Day. Have a wonderful Day! If you answer you must give me ten Earth day Activities to answer. Thank you!
    5·2 answers
  • #1
    9·1 answer
  • Im not good at math at ALL i need help
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!