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
mart [117]
4 years ago
13

Solve this derivative using the quotient rule

Mathematics
1 answer:
LekaFEV [45]4 years ago
7 0
\bf  y=\cfrac{(-x+5)^5}{3x-4}\implies y=\cfrac{(5-x)^5}{3x-4}
\\\\\\
\cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{5(5-x)^4(-1)(3x-4)~~-~~(5-x)^5(3)}{(3x-4)^2}}
\\\\\\
\cfrac{dy}{dx}=\cfrac{-5(5-x)^4(3x-4)-3(5-x)^5}{(3x-4)^2}
\\\\\\
\cfrac{dy}{dx}=\cfrac{\stackrel{common~factor}{-(5-x)^4}[5(3x-4)+3(5-x)]}{(3x-4)^2}
\\\\\\
\cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[15x-20+15-3x]}{(3x-4)^2}
\\\\\\
\cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[12x-5]}{(3x-4)^2}\implies \cfrac{dy}{dx}=\cfrac{(5-x)^4~~[5+12x]}{(3x-4)^2}
You might be interested in
What is the answer to 8 (x+3)?
LuckyWell [14K]

Answer:

<h2>thank you me and brainiest me</h2>

Step-by-step explanation:

Polynomial equation Solving for 8x + 24 = 0

standard form:8(x + 3) =0

Factorization:

8(x + 3) = 0

solutions

x = −24

8

= −3

6 0
3 years ago
find the value of the polygon. the polygon has 6 interior angles 2 of them are y and 4 of them are (2Y-20)
Anna35 [415]
First we need to determine what the 6 angles must add to. Turns out we use this formula

S = 180(n-2)

where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get

S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720

The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20,  2y-20,  2y-20, <span> 

They add up and must be equal to 720, so let's set up the equation to get...

(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720

Let's solve for y

</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720

10y-80 = 720

10y-80+80 = 720+80

<span>10y = 800
</span>
10y/10 = 800/10

y = 80

Now that we know the value of y, we can figure out the six angles

angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
3 0
4 years ago
William has a pair of identical number cubes. the faces of each cube are numbered 1 through 6. william will roll the cubes one t
Angelina_Jolie [31]
The chances will be : 3 and 6 and 4 and 5
The probability of getting a sum of 9 would be 2/9
5 0
3 years ago
Read 2 more answers
Which of the following is the equation logx4=-2 written in exponential form
maksim [4K]
X^-2=4. You got it correct:)
4 0
3 years ago
6.749 round to the nerest tenth​
Lorico [155]

Answer: The answer would be 6.750

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • F(n)=2n+4 g(n) = 4n - 2 Find f (g(2))
    5·1 answer
  • Towns x,y, and z are on the same straight road. Town y is between town x and town z. Town x is 57 miles from town z, and town y
    8·1 answer
  • Express 79.2% as a decimal. <br> A. 7.92 <br> B. 79 <br> C. .0792 <br> D. .792
    6·2 answers
  • Three boxes weighing 128 pounds each and one box weighing 254 pounds were loaded onto the back of an empty truck. A crate of app
    15·1 answer
  • Perpendicular line equation for (0,2); 3y-x=0
    9·1 answer
  • HELP PLEASSEEEEE ASAP!!!!!!!
    6·1 answer
  • Can anyone answer this?
    13·2 answers
  • Find the length of the hypotenuse of a right triangle if the legs each measure 10<br> feet
    13·1 answer
  • Last June the total number of people who attended a baseball team's games was 120,000. This number increased by 13% in July. The
    7·1 answer
  • Divide this equation and show your work.(QUICKLY)<br> X^3+4x^2-25x-28/x-4
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!