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
castortr0y [4]
2 years ago
9

How would you differentiate this problem using the quotient rule?

Mathematics
1 answer:
ioda2 years ago
6 0
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.
You might be interested in
Solve the equation for a.
Pavel [41]

Answer:

\large\boxed{a=\dfrac{K}{4+9b}}

Step-by-step explanation:

K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a

6 0
3 years ago
Read 2 more answers
the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface
AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

The diameter is the sum of 2 radii, hence r=8

D=12
  = 2r =12
r=8

With the raduis the area can be found
A= 2\pir²
A=2\pi8² 
A=2(64)\pi
A=128\pi

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
               = 11.64(3.14)
               = 36.57

The pie costs 36 cents per square inch
5 0
3 years ago
a fastest man in the world can run 100 meters in 9 seconds. how far can he run in 1 minute and 2 seconds
STALIN [3.7K]

Answer:

650-700 meters

Step-by-step explanation:

8 0
2 years ago
This year, a small business had a total revenue of 20,100. If this is 34% more than their total revenue the previous year, what
andre [41]
There total revenue was like 7k or something
3 0
2 years ago
HELP ME PLEASEE faiuurhdkdgkgd
inysia [295]

Answer:

Option b is the right answer.

5 0
3 years ago
Other questions:
  • How many solutions can be found for the equation 12x + 8 = 12x + 8? (4 points) Zero One Two Infinitely Many
    9·2 answers
  • Simplify the following expression 1+30/5•3 <br> plsss
    5·2 answers
  • PLEASE HELP I WILL GIVE BRAINLEST!!
    5·2 answers
  • Consider the function f(x) =x^2+x<br> a. Find f(-x).
    11·1 answer
  • I need to solve cy−7=5d+3y for y, any help?
    6·2 answers
  • 7+8(3.2.2) what is the answer to this problem break it all the way down
    6·1 answer
  • 6. Jill made a quilt for her new sister. The quilt is square with an area of 36 square feet. What
    14·1 answer
  • Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At a price of 518
    6·1 answer
  • Does the point (2, 5) satisfy the equation y = 5x − 5?
    14·1 answer
  • How to factorize 5x^2-20y^2​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!