Y=arccos(1/x)

Please help me do them all! I don’t know derivatives :(

Y=arccos(1/x)Please Help Me Do Them All! I Dont Know Derivatives :(

Answers

Answer 1

Answer:

[tex]f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }[/tex]


Related Questions

What is $158,035.41 rounded to the nearest 10 dollars?

Answers

Answer:

$158,035.41 rounded to the nearest 10 dollars is $158,040

Step-by-step explanation:

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

Please allow me to know if this helped you clicking thank you or rating.  

Miss Hawaii

1. Suzette ran and biked for a total of 34 mi in 3.5 h. Her average running speed was 6 mph and her average biking speed was 12.5 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike? Answer:

Answers

Answer:

 

answer

First we need to write system of 2 equations with 2 variables:

x*6 + y*12.5 = 34

x+y = 3.5

for substitution we express one of variables in one of equations and put it in other equation.

x = 3.5-y

(3.5 - y)*6 + 12.5*y = 34

21 - 6y + 12.5y = 34

6.5y = 13

y = 2

x = 3.5 - y = 3.5 - 2 = 1.5

she ran for 1.5 hours and biked for 2 hours.

check:

1.5*6 + 2*12.5 = 9 + 25 = 34 = 34

If the length of a sea turtle is
directly proportional to its age,
and a 2-year old sea turtle is 3
inches long, how many feet long
is a 80-year old sea turtle?

Answers

Answer:

10 feet

Step-by-step explanation:

Let the length and the age of the sea turtle be L inches and A years old respectively.

Since its length is directly proportional to its age,

L= kA, where k is an unknown constant.

Let's find the value of the constant k.

L= kA

When L= 3, A= 2,

3= k(2)

2k= 3

k= 3 ÷2

[tex]k = \frac{3}{2} [/tex]

Substitute the value of k back into the equation:

[tex]L = \frac{3}{2} A[/tex]

When A= 80,

[tex]L = \frac{3}{2} (80)[/tex]

L= 120

Length of sea turtle

= 120 inches

= (120 ÷12) feet

= 10 feet

What is 8.038 X 10^8 in standard form (8.EE.A.4) also I have to type my answer ​

Answers

Answer:

803,800,000

Step-by-step explanation:

8.038 x 10^8

8.038 x 100,000,000

803,800,000

Hope you understand the answer. Have a great day!

Which of the following is the graph of f(x) = -0.5|x + 31 -2?
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please!!!!

Answers

Answer: The graph is attached.

I suggest you use Desmos Graphing Calculator it helps me out so much!

What is the volume of a sphere with a radius of 24 units?
A. 92167 units
O B, 230477 unite 3
O c. 18A324 units
D. 13,8247 units

Answers

Answer:

18A324 units

Step-by-step explanation:

The volume of a sphere is given by where r is  given: The raduis of sphere =24 units  

Then the volume of the given sphere will be

Hence, the volume of given sphere

All of the following are steps your group should follow to be effective, except: a. Identify and define the problem. b. Analyze the problem. c. Discuss one solution. d. Take action. Please select the best answer from the choices provided A B C D

Answers

Answer:

C) Discuss one solution.

Step-by-step explanation:

There could be more than one solution, so it's best to discuss all of the solutions and decide which is best ^^

I also got it right on Edge :)

when erin got her puppy cuddles he weighed 788.52 grams. He now weighs 2,313.6 grams more than he did when Erin first brought him in. How much does cuddles weigh now?

Answers

Answer:

3102.12

Step-by-step explanation:

add the starting weight 788.52 plus the weight he gained 2.313.6

788.52 + 2.313.6 = 3102.12

How do you get 7:46

Answers

Answer:8:26

Step-by-step explanation:you subtract what time it is by 1:34 then take away 60 for a hour and add it to a hour so taking 60 mins gives you a hour

Write the angles of DEF in order from smallest to largest

Answers

Answer:

F, D, E

Step-by-step explanation:

the smallest angle is opposite the smallest side, the largest angle is opposite the largest side, etc.


Please help me I need to pass

Answers

It looks to be D full text full text

Classify each table as linear, exponential, or neither.

.1 x / y
-3 6
-2 0
-1 -4
0 -6
1 -6
2 -4
3 0
4 6

.2 x / y
-2 -2
-1 2
0 6
1 10
2 14

3. x / y
-2 1/9
-1 1/3
0 1
1 3
2 9

Answers

9514 1404 393

Answer:

neither (y=(x-.5)^2-6.25)linear (y=4x+6)exponential (y=3^x)

Step-by-step explanation:

1. Successive y-values have neither a common difference nor a common ratio. The table is neither linear nor exponential.

__

2. Successive y-values differ by 4. The table is linear.

__

3. Successive y-values have a ratio of 3. The table is exponential.

_____

Additional comment

For evenly-spaced x-values, the y-values will have a common difference for a linear function, and a common ratio for an exponential function.

If the table can be represented by a polynomial function, the level at which differences are constant will tell the degree of the polynomial. First differences are constant for a degree 1 (linear) function. Second differences are constant for a degree 2 (quadratic) function. This is the case in Table 1, where second differences are 2.

PLEASE HELP ME!! ILL GIVE BRAINLIEST!!

Kate is making hamburgers for her friends and has 7 1/2. pounds of hamburger. How many 1/4 pound of hamburgers can she make?


A. 15
B. 4
C. 30
D. 120​

Answers

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]

[tex]\\ \sf\longmapsto 30[/tex]

133.5 divided by 5 show work

Answers

Answer:

26.7

Step-by-step explanation:

Use a  c a l c u l a t o r :P

what is 2,665 divided by 36 witha remainder?

Answers

74  R28

So sorry if its incorrect!


Please help I need to pass Mac

Answers

help me to answer the question

Translate this sentence into an equation.
63 is the sum of 15 and Gail's score.
Use the variable g to represent Gail's score.

Answers

Answer:

63 = 15 + g

Step-by-step explanation:

63 is the sum of 15 and Gail's score:

63 = 15 + g

What is the prime factorization of 7

Answers

Answer:

since 7 is a prime number, the prime factors are 1 and 7.

Step-by-step explanation:

Answer:

1 and 7

Step-by-step explanation:

Since 7 is a prime number (meaning that there are no other factors that can be multiplied to equal 7) the prime factors of 7 would be 1 and itself.

I attached a photo below that shows the factor tree for 7.

Hope this explanation clears up any confusion you may have had! Let me know if you have any other questions :D

22.2 inches times 45 inches equals how many ft

Answers

22.2 x 45 = 999

999 inches = 83 feet and 3 inches

Final answer: 83 feet and 3 inches or 83.25 feet

Answer:

9990 is the right answer

What is the value of x + 4? 3x−6(x+2)=−3 Enter your answer in the box. x + 4 =

Answers

x=-3, so -3+4 is 1. The value of x+4 is 1

I cant seem to find the right answer for this one, can anyone help me evaluate this problem please

Answers

Answer:

substitute the values of a b and c on the expression and write the answer.

Answer:

((-3×4)-(4×2))^3 (-12+8)^3 (-4)^3 -54

__________ = ________ = ________= ______= -1.8

(2×3)-1 6-1 5 5

which relation is a function?

Answers

Answer is the first one on left
The first one on left

A line has a slope of 53. Which of the following points could this line pass through?

Answers

Answer:

Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).

The formula for calculating the slope of a line is expressed as:

We need to get the points that could pass through the line

Looking at the coordinate of option D (5, 7) and (10, 10). Get the slope:

Since the slope of the line is reciprocal to the given slope, then the line with a slope of 5/3 passes through the points (5, 7) and (10, 10).

Step-by-step explanation:

Answer:

hi I'm Andrew and I will get back to your question

If a baby weighs 7 lbs at birth and 12 Ibs after 20 weeks, how much did the baby weigh after 4 weeks, assuming linear growth? [?] lbs​

Answers

Answer: 8lbs

Step-by-step explanation:

The baby gained one pound

Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.

How to determine the weight of the baby

Assuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.

Given information:

Weight at birth (0 weeks): 7 lbs

Weight after 20 weeks: 12 lbs

We can calculate the rate of change (slope) of the baby's weight per week:

Slope = (Change in weight) / (Change in weeks)

Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)

Slope = 5 lbs / 20 weeks

Slope = 0.25 lbs/week

Now, using the slope, we can estimate the baby's weight after 4 weeks:

Estimated weight change = Slope * Number of weeks

Estimated weight change = 0.25 lbs/week * 4 weeks

Estimated weight change = 1 lb

So, the baby's weight after 4 weeks would be the initial weight (7 lbs) plus the estimated weight change (1 lb):

Estimated weight after 4 weeks = Initial weight + Estimated weight change

Estimated weight after 4 weeks = 7 lbs + 1 lb

Estimated weight after 4 weeks = 8 lbs

Learn more about linear equation

https://brainly.com/question/2030026

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Compute and simplify.
17/1/12/29

Answers

Answer:

0.049

Step-by-step explanation:

17÷1=17

17÷12=1.42

1.42÷29=0.049

0.04 kL to g
What is the answer to this

Answers

Answer:

40g

Step-by-step explanation:

The answer is 40 gallons

The length and breadth of the plot in metres are in the ratio 10:3.The perimeter
of the plot is 312 m.

Answers

Answer:

I hope this could be of good assistant

Step-by-step explanation:

L:B = 10:3

make L subject of formula

L = 10B/3

perimeter = 312

2( L + B ) = 312

L + B = 312/2

L + B = 156

10B/3 + B = 156

multiply all through by 3

10B + 3B = 156 X 3

10B + 3B = 468

13B = 468

B = 468/13 = 36

B = 36m

L = 10B/3

L = 10 X 36/3

L = 10 X 12 = 120m

L = 120m

Hence if your were asked to find the area

L X B

120 X 36 = 4320m²

the scale drawing of a rectangular room measures 10 cm long by 6 cm wide. the actual width of the room is 15 feet. what is the actual perimeter of the room, in feet?​

Answers

Answer:

80 feet

Step-by-step explanation:

6 cm = 15 feet

1 cm = 5/2 feet

32 cm = 90 feet

The actual perimeter of the room is 90 feet.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

The scale drawing of a rectangular room measures 10 cm long by 6 cm wide.

The actual width of the room is 15 feet.

This means,

6cm = 15 feet

1 cm = 15/6 feet

1 cm = 5/2 feet

Now,

The perimeter of the rectangular room.

= 2(10 + 6)

= 2 x 16

= 32 cm

1 cm = 5/2 feet

So,

32 cm = 32 x 5/2 feet

32 cm = 16 x 5 feet

32 cm = 90 feet

Thus,

The actual perimeter of the room is 90 feet.

Learn more about scale factors here:

https://brainly.com/question/20759556

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A . 5 - 4/8
B. -1/8 - 1/4
C. -1/4 - (-1/8)
or D. -1/6 + (-5/24)

Answers

Answer:

The solution is B. -1/8 - 1/4

Step-by-step explanation:

From the problem, we immediately know that the result of calculating the fraction is -3/8. We can find a way to get easily.

-1/8 - 1/4

= -1/8 - 2/8

= -3/8

смесь сухофруктов состоит из изюма и кураги. Изюма составляет 42% всей смеси. Сколько процентов этой смеси составляет курага?

Answers

58% должно быть вашим ответом

Answer:

58%

Step-by-step explanation:

вычтите исходный процент из 100, и вы получите еще один, и это абрикосы

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