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
Tanzania [10]
3 years ago
8

Find the derivative of |x|/(x-1)

Mathematics
1 answer:
ki77a [65]3 years ago
4 0
\bf \cfrac{|x|}{x-1}\iff \cfrac{\sqrt{x^2}}{x-1}\iff \cfrac{(x^2)^{\frac{1}{2}}}{x-1}
\\\\\\
\textit{using the quotient rule}
\\\\\\
\cfrac{dy}{dx}=\cfrac{\frac{1}{2}(x^2)^{-\frac{1}{2}}\cdot 2x(x-1)-(x^2)^{\frac{1}{2}}\cdot 1}{(x-1)^2}

\bf \cfrac{dy}{dx}=\cfrac{\frac{x(x-1)-(x^2)^{\frac{1}{2}}}{(x^2)^{\frac{1}{2}}}}{(x-1)^2}\implies \cfrac{dy}{dx}=\cfrac{x(x-1)-(x^2)^{\frac{1}{2}}}{(x^2)^{\frac{1}{2}}(x-1)^2}
\\\\\\\cfrac{dy}{dx}=\cfrac{x(x-1)-|x|}{|x|(x-1)^2}
You might be interested in
The graph models the projected populations, in thousands, of two towns after x years. Both towns experience a 1.9% annual growth
spin [16.1K]

whats the question

?

3 0
2 years ago
a slug travels 3 centimeters 3 seconds a snail travels 6 centimeters in 6 seconds both travel at constant speed which traveled f
Tju [1.3M]

Both traveled the same speed: 3cm/3s= 1m/s and 6cm/6s= 1m/s

7 0
2 years ago
Read 2 more answers
Chinedu sat down to do his homework, which included 30 math problems. He solved 2 problems each minute. Let f(n) be the number o
vova2212 [387]

Answer:

It would be an arithmetic sequence.

Step-by-step explanation:

This is because during each minute, he does another 2 problems. Or, in other words +2 each minute.

This is the result of the sequence during each minute:

(Problems Left): <em>30, 28, 26, 24, 22... 0</em>

Time (Minutes) --->

If it was instead a geometric equation, it would go by a multiple, such as the number 2. Or, ×2 each minute.

During the first minute, he learns 2 problems. But then as each minutes passes it turns into 4, then 8, and etc..

This is the result of the pretend sequence during each minute:       (Problems Left): <em>30, 28, 24, 16, 0</em>

Time (Minutes) --->

The formula would be for this equation would follow

an = a1 + (n-1)d

an is your result.

a1 is the first number you plug in

(n-1) is just there, don't mind it (aka: the term position).

and d is the rate.

So just plug them in from your equation, and you would get this:

an = 30(n-1)2

6 0
2 years ago
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm. What is the approx
malfutka [58]

Answer:

B: 44.8

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Four people each deliver food to peoples' homes. Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dol
timama [110]

Answer:

4+1m??

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Suppose that it costs ​$25 to place a classified advertisement in the​ newspaper, plus ​$3 for each line. Then the cost to place
    14·1 answer
  • Samira needs 22 quarts of lemonade to fill a dispenser. She plans to buy 7 jugs of lemonade. Each jug contains 3.3 quarts.
    9·2 answers
  • Find the 100th term in the arithmetic sequence<br><br> -19,-14,-9,-4,1...
    7·1 answer
  • .A mouse population is 25,000 and is decreasing at 20% per year. What is the population after 3 years? Exponential growth or dec
    14·1 answer
  • Create an explicit formula of the sequence. 7, 14, 28, 56, .... Find the 10th term of the sequence. Complete your work in
    8·1 answer
  • 12 + x + 14 wat is x
    9·2 answers
  • Solve for the unknown value in simplest form 2/4/5 = x/3/10
    12·1 answer
  • Write an expression to represent the number of pencils Cindy has.
    8·1 answer
  • What is 1% of 30 answer ​
    15·2 answers
  • Need help it’s easy and quick points please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!