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Find derivative of complicated inverse trig function
Find derivative of complicated inverse trig function
Derive:

\(y=\operatorname{arccot}x+\arctan \left(\frac{2+x}{1-2x}\right)\)

Before we start, recall:

\(\frac{d}{dx}\operatorname{arccot}x=\frac{-1}{1+x^2}\)
\(\frac{d}{dx}\arctan x=\frac{1}{1+x^2}\)

Now, let's return to the problem, the left side is easy, it becomes: [math=inline]\fr
Mathematics   bio_man   28   Asked 1 weeks ago
Finding the derivative of inverse tangent
Finding the derivative of inverse tangent


From the image, your function is: \(y=\frac{1}{4}\tan ^{-1}\left(\frac{4\sin x}{3+5\cos x}\right)\)

Start by multiplying both sides by [math=in
Calculus   bio_man   32   Asked 2 weeks ago
Find the derivative of
Find the derivative of


\(x\cdot \sin y+y\cdot \cos x=0\)

Rewrite with brackets for organization purposes:

[math=inline]\left(x\cdot \sin y\
Calculus   bio_man   25   Asked 2 weeks ago
You are the coding manager for a large city hospital. You outsource some overflow coding to a vendor
You are the coding manager for a large city hospital. You outsource some overflow coding to a vendor
You are the coding manager for a large city hospital. You outsource some overflow coding to a vendor. As the contact person for those coders, you sometimes get e-mails asking for discharge dates or dispositions to be entered so the account can be finalized. You would like those coders to be able to enter that information themselves to save you time. Your HIM director has a differing
Nursing and Clinical   cangyufeiyi   27   Asked 2 weeks ago
A study designed to compare two ethnic groups on a measure of a particular personality trait used a
A study designed to compare two ethnic groups on a measure of a particular personality trait used a
none
Statistics and Probability   yhernandez   20   Asked 2 weeks ago
Delta method question!
Delta method question!
Find the derivative of this by the delta method

\(y=x^2+3x-\frac{2}{x}\)

\(\frac{dy}{dx}=\lim _{\Delta x\rightarrow 0}\left(x^2+3x-\frac{2}{x}\right)\)

Apply \(x-\Delta x\) into where you see x's:

[math=inline]\frac{dy}{dx}=\lim _{\Delta x\rightarrow 0}\ \fr
Calculus   bio_man   34   Asked A month ago
Find the required derivatives using appropriate formula
Find the required derivatives using appropriate formula


#1. Start with the first derivative:

\(\frac{dy}{dx}=\frac{2}{3x^2}\)

Now the second derivative:

Calculus   bio_man   32   Asked A month ago
Inverse function rule with calculus
Inverse function rule with calculus
Find \(\frac{dy}{dx}\)

The relationship is simple: \(\frac{dy}{dx}=\frac{1}{\frac{dx}{dy}}\). This suggests that to find the derivative of the inverse function, you take the derivative of that function with respect to \(y\), then reciprocate the derivative [math=inline]\left(\frac{1}{\frac{dx}{d
Mathematics   bio_man   39   Asked A month ago
Simplify Help
Simplify Help
\(\left[4\sqrt{x}^2-1\right]\cdot 2\sqrt{x}\)

Distribute the 2 to the two terms inside the brackets

\(4\sqrt{x}^2\cdot 2\sqrt{x}-2\sqrt{x}\)

\(8x\sqrt{x}-2\sqrt{x}\)

\(2\sqrt{x}\left(4x-1\right)\)
Pre-calculus and Functions   bio_man   24   Asked A month ago
Chain rule help
Chain rule help
\(y=\sqrt{u^2-1}\)
\(u=4\sqrt{x}\)

Put u into x

\(y=\sqrt{\left(4\sqrt{x}\right)^2-1}\)

Simplify:

\(y=\sqrt{16x-1}\)

Now derive, change to fractional coefficients:

\(y=\left(16x-1\right)^{\frac{1}{2}}\)
Calculus   bio_man   37   Asked A month ago
How to simplify: 2√(√x) times 2√ x
How to simplify: 2√(√x) times 2√ x
\(2\sqrt{\sqrt{x}}\cdot 2\sqrt{x}\)

First, we change to fractional exponents:

\(2\left(x^{\frac{1}{2}}\right)^{\frac{1}{2}}\cdot 2\left(x\right)^{\frac{1}{2}}\)

Multiply the 2's

\(4\left(x^{\frac{1}{2}}\right)^{\frac{1}{2}}\left(x\right)^{\frac{1}{2}}\)

Use ex
Algebra   bio_man   35   Asked A month ago
Rules of differentiation Discussion
Rules of differentiation Discussion


These rules you have nothing to worry about. They're there to make differentiation easier to do, that's all.

Examples:

#1,2 Let's say you have:

\(f\left(x\right)=x±x^2\)

You differentiate twice:
Calculus   bio_man   31   Asked A month ago
Delta method calculus for ³√x²
Delta method calculus for ³√x²
Set:

\(f\left(x\right)=\sqrt[3]{x^2}\)

Apply into limit expression, do not take the limit yet:

\(\lim _{x\rightarrow 0}\ \frac{\sqrt[3]{\left(x+\Delta x\right)^2}-\sqrt[3]{x^2}}{\Delta x}\)

Set a and b:

[math=inline]a=\sqrt[3]{\left(x+\Delta x\right)^2}[
Calculus   bio_man   76   Asked A month ago
Annotated Bibliography and Reflection
Annotated Bibliography and Reflection
During the last seven weeks of class, you have been asked to read several journal articles. You have also been asked to reflect on your cultural identity as you consider the many levels that constitute your identity. You also considered attribution, dialectics and how all of this is applied to interpersonal communication. For our final assignment, you will choose four articles from
Communication Studies   butterpecan18   32   Asked A month ago
For each of the following job classifications, list the name of at least one person you know in that
For each of the following job classifications, list the name of at least one person you know in that
For each of the following job classifications, list the name of at least one person you know in that field:
   a.   Full-time person who sells a service
   b.   Full-time inside wholesale salesperson
   c.   Full-time manufacturer’s salesperson
   d.   Full-time retail salesperson
Interview one of the people you have listed, asking the following questions concerning their d
Marketing   Filup   11   Asked A month ago
List and describe the four employment settings for people who are considering a selling career.
List and describe the four employment settings for people who are considering a selling career.
List and describe the four employment settings for people who are considering a selling career.
Marketing   Filup   14   Asked A month ago
To find the limit of a function with two variables by epsilon delta method
To find the limit of a function with two variables by epsilon delta method
Plz help me find the Limit of f(x,y)= (x^2-y^2)/(x^2+y^2)  as (x, y)  tend to (0,0) by epsilon delta method with a detailed solution.
Pre-calculus and Functions   Copernicus711   30   Asked 2 months ago
Question too long to be here. It's down there on my details part
Question too long to be here. It's down there on my details part
Rono, Wambulwa and Nora have been trading in partnership asYouandi Enterprises sharing profits and losses in the ratio of 2:2:1 respectively. They have presented the following profit and loss account of the firm for the year ended 31 December 2017:


Sh.000                     Sh.000
Gross profit     &nb
Accounting   Mugo   34   Asked 2 months ago
Question down there on my details
Question down there on my details
Mr. A. Kiriama prepared the following profit and loss account for his business for the year ended
31 December 2017

Income
Sh.                           Sh. Sales                                      &nb
Accounting   Mugo   29   Asked 2 months ago
Question too long... But it's on my details part down there. Please help
Question too long... But it's on my details part down there. Please help
The management of Nyakwerigeria Ltd a registered supplier of vatable goods presented the following information relating to the companies transactions for the month of October 2017.


Sh.
Sales at standard rate
36,000,000

Sales at zero-rate
14,000,000

Export sales
4,000,000

Exempt sales
6,000,000

Purc
Accounting   Mugo   32   Asked 2 months ago
Could someone point out citations where IQ and breastfeeding is correlated
Could someone point out citations where IQ and breastfeeding is correlated
Just in case of a good debate, would like some references on this subject.

Thanks
Referencing Help   klcarrasquillo   96   Asked 3 months ago
What causes varicose veins and how can I prevent it?
What causes varicose veins and how can I prevent it?
I'm absolutely terrified that I might develop them on my legs, what can I do to stop it from developing?
Curiosity Questions   habiba   33   Asked 3 months ago
Research and Data Collection Brainstorm questions, and create a 5- to 10-question survey to admi
Research and Data Collection Brainstorm questions, and create a 5- to 10-question survey to admi

   Research and Data Collection Brainstorm questions, and create a 5- to 10-question survey on (under-age alcohol consumption) to administer to adult acquaintances.

•         The survey must allow you to gather information about the effects and influence of your topic (under-age alcohol consumption) for the research paper.
•     
Sociology   mikedebone   32   Asked 3 months ago
Statement of Activities
Statement of Activities
Presented below is information for the governmental activities for the City of Pleasant Hill for the year ended December 31, 20X9 (all amounts are in thousands of dollars).

General property taxes revenue      $13,000
Unrestricted grants      4,000
Restricted grants for public safety      1,200
Capital grants for highways      300
Increase in fair value of investments   
Accounting   derro   30   Asked 3 months ago
Financial Statement Preparation
Financial Statement Preparation
The accounts listed below are taken from an Internal Service Fund adjusted trial balance (all amounts are in thousands):

Accounts    Debit   Credit
 Accounts Payable        $44
 Accumulated Depreciation – Buildings        200
 Accumulated Depreciation – Furniture and Equipment        210
 Billings to Departments        981
 Buildings    $319   
 Capital Contributio
Accounting   derro   38   Asked 3 months ago
Once the trial begins, the trial team’s outside technology consultants A. are barred from assist
Once the trial begins, the trial team’s outside technology consultants A. are barred from assist
Once the trial begins, the trial team’s outside technology consultants
   A.    

are barred from assisting the team in the courtroom.
   B.    

should be involved in making sure the presentation goes ahead smoothly.
   C.    

usually have little offer in the way of assistance during trial.
   D.    

are redundant, since the courthouse
Legal Studies   Myiah93   39   Asked 4 months ago
Which observational fact leads scientists to the conclusion that the particles making up Saturn's ...
Which observational fact leads scientists to the conclusion that the particles making up Saturn's ...
Which observational fact leads scientists to the conclusion that the particles making up Saturn's rings are ice or ice-covered rocks?

high albedo, or reflectivity, of the ring material

   distribution of their sizes; water ice is only strong enough to form the objects of the sizes detected in the rings

   spectrum of the reflected light, which shows
Physics   taynorvell   40   Asked 4 months ago
In a cooling magma composed of silicon, oxygen, aluminum, potassium, hydrogen, calcium, and sodium a
In a cooling magma composed of silicon, oxygen, aluminum, potassium, hydrogen, calcium, and sodium a
quartz, olivine, muscovite, potassium feldspar

 In a cooling magma composed of silicon, oxygen, aluminum, potassium, hydrogen, calcium, and sodium atoms, which of the following silicate minerals would be impossible to crystallize?
Geography and Earth Sciences   sassysue   70   Asked 4 months ago
Why You Should Use Recombinant Antibodies (rAbs)
Why You Should Use Recombinant Antibodies (rAbs)
rAbs are constructed in vitro, outside the constraints of the immune system, using recombinant DNA technologies. The antibody genes are isolated and then incorporated into plasmid DNA vectors, and the resulting plasmids are transferred into expression hosts such as bacteria, yeast, or mammalian cell lines. rAbs can be used in all applications where classical mAbs are used.
General Biology   stevenhobs   42   Asked 4 months ago
What are coterminal angles and how do I find positive angles?
What are coterminal angles and how do I find positive angles?
Assume the following angles are in standard position. Find a positive angle less than 360° OR 2π that is coterminal with each of the following:

a.  400°

b.  −135°

c. 13π/5

d. −π/15

Thanks!
Mathematics   presidente   45   Asked 4 months ago
Period function word problem
Period function word problem
A region that is 30° north of the Equator averages a minimum of 10 hours of daylight in December. Hours of daylight are at a maximum of 14 hours in June. Let x represent the month of the year, with 1 for January, 2 for February, 3 for March, and 12 for December. If y represents the number of hours of daylight in month x, use a sine function of the form y=Asin(Bx−C)+D to model the ho
Mathematics   presidente   41   Asked 4 months ago
How do you graph cotangent functions?
How do you graph cotangent functions?
I have the question:

Graph y=0.5 cot (π/2 x)

Thanks!
Mathematics   presidente   42   Asked 4 months ago
A projectile is launched from height ho above the ground. Its height (metres) after t seconds is giv
A projectile is launched from height ho above the ground. Its height (metres) after t seconds is giv
A projectile is launched from height ho above the ground. Its height (metres) after t seconds is given by s = kt^2 + v0t + ho where k is a constant, v0 is the initial velocity. If the height at 1.0 s is 7.75 m and the height at 1.5 s is 6.625 m, and the height at 2.0 s is 5.00 m, determine the height at time 2.5 s.
Algebra   presidente   53   Asked 4 months ago
The atomic mass of three compounds are known: methane (CH4) is 16.0, glycerol (C3H8O3) is 91.9, and
The atomic mass of three compounds are known: methane (CH4) is 16.0, glycerol (C3H8O3) is 91.9, and
The atomic mass of three compounds are known: methane (CH4) is 16.0, glycerol (C3H8O3) is 91.9, and water (H2O) is 18.0. Calculate the atomic mass of C, H, and O by solving this linear system:
              C + 4H = 16.0
   3C + 8H + 3O = 91.9
                    2H + O = 18.0
Algebra   presidente   82   Asked 4 months ago
A certain number has three digits and the sum of those digits 12. When the number is divided by the
A certain number has three digits and the sum of those digits 12. When the number is divided by the
A certain number has three digits and the sum of those digits 12. When the number is divided by the number formed by the hundreds and the ones digits, the answer equals 11. In addition, the sum of the hundreds and the tens digits is 10 bigger than the ones digit. What is the number?

Algebra   presidente   40   Asked 4 months ago
The sum of the digits of a certain three-digit number is nine. The sum of the hundreds and the tens
The sum of the digits of a certain three-digit number is nine. The sum of the hundreds and the tens
The sum of the digits of a certain three-digit number is nine. The sum of the hundreds and the tens digits is equal to the ones digit minus one. The number, divided by nine, equals three times the ones digit. What is the number?
Algebra   presidente   41   Asked 4 months ago
A projectile is launched from the ground. Its height (metres) after t seconds is given by s = kt2 +
A projectile is launched from the ground. Its height (metres) after t seconds is given by s = kt2 +
A projectile is launched from the ground. Its height (metres) after t seconds is given by s = kt2 + v0t where k is a constant, v0 is the initial velocity. If the height at 1.0 s is 8.7 m and the height at 1.5 s is 7.625 m, determine the height at time 2.0 s.
Algebra   presidente   47   Asked 4 months ago
A horizontal beam of negligible weight is simply supported at each end by columns. When a vertical l
A horizontal beam of negligible weight is simply supported at each end by columns. When a vertical l
A horizontal beam of negligible weight is simply supported at each end by columns. When a vertical load as placed on a beam 1.00 m from the left end, the vertical upward reaction is the right column
is 62.5 N. When the load is increased by 40.0 N, the reaction in the right column increases to 75.0 N.
How long is the beam?
Algebra   presidente   30   Asked 4 months ago
A 10.0 kg mass and a 19.5 kg mass are hung from either end of a bar of negligible weight. If the 10.
A 10.0 kg mass and a 19.5 kg mass are hung from either end of a bar of negligible weight. If the 10.
A 10.0 kg mass and a 19.5 kg mass are hung from either end of a bar of negligible weight. If the 10.0 kg is increased to 12.0 kg, the balance point shifts by 16.2 cm. How long is the bar?
Algebra   presidente   34   Asked 4 months ago
A lab technician wants to mix some amount of a 15% acid solution and another amount of a 25% acid so
A lab technician wants to mix some amount of a 15% acid solution and another amount of a 25% acid so
A lab technician wants to mix some amount of a 15% acid solution and another amount of a 25% acid solution so that his resultant mixture is 80 ̅ ml of a 22% acid solution.  What volume of the 15% acid solution and 25% acid solution is required?
Algebra   presidente   30   Asked 4 months ago

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