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
MissTica
3 years ago
13

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

Step-by-step explanation:

Given:

y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}

using the properties of log we can take the power 1/2 and multiply it.

y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)

now we can differentiate:

\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)

\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)

\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}

this is our answer!

You might be interested in
What inequality sign do you use if c is at most 3
lesya692 [45]
It would be c≤3 as in c is less than or equal to three
5 0
3 years ago
Pls help me with this question and explain how u got the answer!!!
Gre4nikov [31]

Answer:

Step-by-step explanation:

There are 26 letters in the alphabet. Take 325 and divide it by 26 to get an answer of 12.5. We can round this number to 13. Therefore, the 13th letter in the alphabet is M and will be your answer.

5 0
2 years ago
You scored 31 out of 40 points on a test. What percent did you get?
elena-14-01-66 [18.8K]

Answer:


Step-by-step explanation:

Divide 31 by 40. Since you get .775, you make it a percent and it's 77.5% correct.

5 0
3 years ago
In the diagram, point M is the center of the circle. If m∠PMN = 134°, what is m∠PON?
denpristay [2]

Answer:

67

Step-by-step explanation:

its not a 90!!! tilt your screen.

8 0
2 years ago
The price of a car increased by 7% which expression can be used to calculate the new price of the car
julsineya [31]

Answer: P * ( 1 + 7%)

Step-by-step explanation:

You included no options but the expression should go something like this:

Pn = P * ( 1 + 7%)

Where Pn is the new price

P is the current price

<em>The above formula will show the new price given the current price. </em>

6 0
3 years ago
Other questions:
  • Brian irons 2/9 of a shirt in 3 3/5 minutes. How long will it take him to iron one shirt? At this rate, how long will it take to
    7·1 answer
  • A library wants to buy a new computer that cost $989.99. So far, the library has collected $311.25 in donations.About how much m
    5·2 answers
  • A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers?
    14·1 answer
  • A candy company advertises that 3 out of 24 of its chocolate candy bars contain a prize. Based on this information, how many cho
    11·1 answer
  • Consumer Reports rated airlines and found that 80% of the flights involved in the study arrived on time (that is, within 15 minu
    10·1 answer
  • How do you do c/6 = -4 I've tried but got confused.
    15·1 answer
  • 2 (-4x + 2)<br> What does this equal
    11·2 answers
  • 5. (-5, 7) across the x-axis
    5·2 answers
  • Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    10·1 answer
  • Please help urgently ​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!