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
If you have $11 and you spend $7 on a sandwich, drink, and chips, what fraction of your money did you spend?
larisa86 [58]

Answer:

Step-by-step explanation:

u had 11 and u spent 7

7/11 <=== the fraction of money u spent is 7 out of 11

8 0
3 years ago
Read 2 more answers
This assignment is due tomorrow please help :(
Mariulka [41]
The answer would be 9 units squared hope this helped(:
6 0
2 years ago
Read 2 more answers
Write &lt;, &gt;, or = to make the statement true : .293 ___ .29
JulsSmile [24]
If you add a zero to the end of .29 it becomes .290
So, the answer is .293 > .29
7 0
3 years ago
What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!
Diano4ka-milaya [45]

Answer:

2187 ( 3 to the 7th)

Step-by-step explanation:

3 to the 6th= 729

729 x 3 = 2187

6 0
2 years ago
Find f(1/4)<br><br> if f(x)=4x^2-2/3x<br><br>please guys explain it to me I cant understand it ​
Jet001 [13]

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

6 0
3 years ago
Other questions:
  • Add 5 and 14,triple the sum,and then add four-fifths find the expression
    13·1 answer
  • Need  ONLY     3   &amp;  4, Thank you all in advance!!!!!!!!!!
    8·1 answer
  • Emily leaves her house at exactly 8:25
    14·1 answer
  • A survey of 73 people reported that 32 of them preferred juice to milk.
    13·2 answers
  • Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill.
    14·1 answer
  • Derrick has obtained a $139,000 5/1 30 year ARM at 5%. during the first 3 years, he has an option of paying interest only, if he
    6·2 answers
  • Simplify the product.<br> ((3x-6)/(x+5))·((2x+10)/(x-5))
    14·1 answer
  • What is the 30th term of the linear sequence below?<br><br> -5,-7,-9,-11,-13....
    10·1 answer
  • 2x+3y=20 <br> -2x+y=4 <br> Solve algebraic
    9·1 answer
  • Help!<br><br> <img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7Bx-2%7D-x%3D-2" id="TexFormula1" title="\sf \sqrt{x-2}-x=-2" al
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!