y=sech(tan‐¹x) find the derivative ​

Answers

Answer 1

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)


Related Questions

Holly and Jimmy went shopping. For every $2
that Holly spent, Jimmy spent $5. If together
they spent $35, how much did Jimmy spend?

Answers

You can write the amount that they spent individually in a ratio where:

Holly : Jimmy

2 : 5

The total of this ratio would be 2+5 = $7.


To find the scale factor multiplier for the base ratio of 2:5:

35/7 = 5


Multiply both sides of the ratio by 5.

Holly : Jimmy

2 x5 : 5 x5

10 : 25

You can see that the total of this ratio is now $35, where Jimmy spent $25.

if you want it a a whole number, it would be for every 34$ 85 bucks for jimmy .

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = z2 to the
number of z-intercepts in the graph of g(x) = -22 – 5. Be sure to include the transformations that
occurred between the parent function f(x) and its image g(x).

Answers

Answer:

There is only one x-intercept for f(x) and g(x), f(x) having a minimum value of zero and g(x) having a maximum value of zero. f(x)=0 when x=0, g(x)=0 when x=4.

g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.

If16 = x/20, then x=

Answers

Answer:

320

Step-by-step explanation:

16 × 20 = 320

To double check it, we insert 320 into the equation:

320 ÷ 20 = 16

If it took 8 hours to mow 10 lawn, then at that rate how many lawns could be mowed in 24 hours

Answers

30 because 8 times 3 is 24 and 10 times three is 30


What is the value of
negative 3/4 with negative 4 as a exponent

Answers

Answer:

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

Step-by-step explanation:

[tex](\frac{3}{4} )^-4[/tex]

[tex](\frac{4}{3} )^4[/tex]

[tex]\frac{4^4}{3^4}[/tex]

=[tex]\frac{256}{81}[/tex]

(Decimal: 3.160494)

:)

I hope this helps

ME: Honesty Armani wade


1. The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose? Show
or explain how you know.

Answers

Answer:

The roses are sold individualy for $5.00.

Step-by-step explanation:

To find the answer, you divide 90 (the total amount) by 18 (the number of roses). Because we are doing division, you forget about the dollar sign (for now) and do the division. 90➗18=5. Since it is money, it would be $5.00

For the expression:
(9x^2 + 4y^2 -12xy) / (4y^2 - 9x^2)

Find the domain

Answers

Answer:

Interval Notation (-∞, ∞)

Set-Builder Notation: {x|x ∈ R} (all real numbers = R)

Step-by-step explanation:

I plugged this into a graphing calculator and was able to find the domains by looking at where the lines stopped (they didn't stop) and wrote the f(x) based off of it

please help with this problem!!​

Answers

Answer:

1/9 —> 11 1/9%, 1/3 —> 33 1/3%, 5/9 —> 55 5/9%, and 8/9 —> 88 8/9%

Step-by-step explanation:

Answer:

its easy. just match numbers that look close to each other

Step-by-step explanation:

write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)

Answers

Answers are highlighted in blue. If you have any questions feel free to ask!

Yesterday, there were 100 problems assigned for math homework. Pablo got 60 problems correct and 40 problems incorrect. What percentage did Pablo get correct?

Answers

Answer 60%
I Hope This Helps

(−3, −1), (−1, 5) Find the slope of the line that passes through the pair of points.

Answers

[tex]slope = \frac{ 5 - ( - 1)}{ - 1 - ( - 3)} \\ [/tex]

[tex]slope = \frac{5 + 1}{ - 1 + 3} \\ [/tex]

[tex]slope = \frac{6}{2} \\ [/tex]

[tex]slope = 3[/tex]

Enter the number that belongs in the green box

Answers

Answer:

9 because there the same length

Answer:

the measure of the seg CD is 9

Step-by-step explanation:

It is 9 because the shape is a parallelogram. One of the properties of a parall is that opposite sides are congruent which makes side BA equals side CD

Solve for y.

3y+5=4y−2


y=−7

y = 1

y = 3

y = 7

Answers

Answer:

y = 7

Step-by-step explanation:

3y + 5 = 4y − 2

=> 2 + 5 = 4y - 3y

=> y = 7

Therefore, y = 7.

Hoped this helped.

[tex]GeniusUser[/tex]

Monica paid sales tax of $1.40 when she bought a new bike helmet. If the sales tax rate was 7%, how much did the store charge for the bike helmet before tax?

Answers

Divide 140 by 7 and you get 20, so Monica spent 20$ in order to pay a 1.40 sales tax

Samantha is about to buy her first new vehicle. She knows the model that she wants but all of the vehicles
available at the dealer's showroom have accessories, like fancy wheel hubs, that she doesn't need or want.
Which of the following is likely to be true?

Answers

Answer:

Samantha wants a simple, starter car, or the extra accessories have a higher price than the one's without it.

Can somebody please find the value of x for me

Answers

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x = ½ (x + 9)

2x = ½(x) + ½(9)

2x - ½x = 9/2

3/2x = 9/2

x = 9/3

x = 3

____

Hope it helps ⚜

A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

3 feet on each side

Step-by-step explanation:

11 - 5 = 6

6/2 = 3

Explain how to graph a line when given the standard form Ax + By = C of a linear equation.

PLEASE HELP ME

Answers

Step-by-step explanation:

A= C. - By

x. ×

answer by a

huhuhu

Determine each measure. M

Answers

Check the picture below, tis corrected.

btw the picture is rather long, so the thumbnail here may not show all its size, so you may have to open the image in a new tab or window.

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

Which of the following shows the correct solution steps and solution to 4x + 9 = -23?​

Answers

Exact Form:

x

=

7

2

x

=

7

2

Decimal Form:

x

=

3.5

x

=

3.5

Mixed Number Form:

x

=

3

1

2

Answer:

X=3.5

Step-by-step explanation:

What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.

Hope it helped!

How much money should be invested every quarter at 9% per year, compounded quarterly, in order to have $3000 in 8 years? (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

$6,146.76.

2. Write an equation in slope-intercept form for the line with a slope of -9 and a
y-intercept of 18.

Answers

Answer:

y = -9x + 18.

Step-by-step explanation:

The general form is y = mx + c , where m = the slope and c = y-intercept.

[tex]\huge\boxed{Hi \: there! :)}[/tex]

We are given the slope of the line: -9.

We are also given its y-intercept: 18.

Slope-Intercept Form:

[tex]\huge\sf\{y=mx+b[/tex]

Where

m is the slope and b is the y-intercept.

Plug in the values:

y=-9x+18

[tex]\huge\boxed{Therefore, \: our \: equation \: is: y=-9x+18}[/tex]~An Unknown Dreamer

Good luck!

Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)

Answers

Answer:

-36/5

- . 2/5-=+2/5

-36/5+2/5

34/5 or 6 4/5

Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.

Answers

Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole

Answers

Answer:

15 ft.

Step-by-step explanation:

I will assume that either both objects are standing straight. We can use similar triangles.

We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:

[tex]\frac{6}{8} =\frac{x}{20}[/tex]

we can cross multiply and get:

8x=120

solve for x:

x=15

Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)

find all complex solutions of 5x^2+5x+4=0

Answers

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

---------------------------------

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

----------------------------------

2(5)

-5±sqrt( 25 - 80)

----------------------------

10

-5± sqrt(-55)

--------------------------

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)

Answers

Answer:

The length of XY is 22.5

Step-by-step explanation:

Since you need to hurry I will not write an explanation

Hope this helps! :)

૮ ・ﻌ・ა

Hey can some help me

Answers

Answer:

zero

Step-by-step explanation:

Zero

Positive means that the slope moves upwards from the left to right

Negative means that the slope moves downwards from the left to right

Zero means the slope doesn't increase nor decrease

Undefined is considered the opposite in how the current slope is

The next number in the sequence shown below is 156.
1, 15, 155,

Answers

No the correct answer is actually 1555, you are just adding 5

The next number of the sequence 1, 15, 155, ...... will be 1555.

What are sequence and series?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

A sequence in arithmetic is an enumerated collection of items in which duplicates are permitted and order is important. It has members, just like a set. The distance of the order is defined as the number of items.

The sequence is given below.

1, 15, 155, ......

The next number of the sequence will be given by adding the digit 5 in the one's place. Then the sequence is given as,

1, 15, 155, 1,555, 15,555, 155,555,......

Then the number will be 1555.

More about the sequence link is given below.

https://brainly.com/question/21961097

#SPJ2

Other Questions
A traffic signal board, indicating SCHOOL AHEAD, is an equilateral triangle with side a. Find the area of the signal board, using Herons formula.If its perimeter is 180 cm, what will be the area of the signal board? Which statement is the best evaluation of the research question? It is too biased; this research question contains an opinion and cannot be answered through research. It is clear and complex; this research question has a single focus that can be researched and discussed. It is too broad; this research question is unfocused and would be too difficult to discuss in a single research essay. It is too narrow; this research question is limited to high school students, which is not a large enough group to research. A data set includes data from student evaluations of courses. The summary statistics are n=89, x=3.44, s=0.67. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.What are the null and alternative hypotheses?A.H0: =3.50H1: >3.50B.H0: =3.50H1: what is the capital of the following countries: Fiji,Australia,New zealand,Pakistan,Canada,Germany, Vanuatu,Samoa,Tonga,New caledonia,Tuvalu,American samoa ,China,Japan,Turkey,Korea The graph below shows a cycle of a heat engine. Add the following labels to the graph. Some labels are used more than once. Labels: Isobaric process; W= 0J; Work done on the system; Work done by the system.I will give brainliest!P.S. AL2006 if you see this please help! Find the square roots of these numbers by division method. a-6090 what the effect of global warming Is the rate of change of the function 5? help pls :') NaC9Which rule describes the transformation?Parallelogram ABCD is rotated to create imageA'B'C'D'.SEE0 (x, y) - (y, -x)O (x, y) + (-y, x)O (x, y) + (-X, -y)(x, y) - (x,-y)5VX4RD21C-5.-5.4.-3.-2.-234SIB2DACBno MY LAST QUESTION PLEASE HELPGiven the special right triangle below, what is the value of the hypotenuse?30606A6B673123D12 2. The concept of one car length of space between two vehicles for every ten miles per hour is the most current method of computing following distance. True or false? Make x the subject of the formula I need help on this one tooE=7x+8f Thank you so much if you answer! In Gregor Mendel's work with pea plants, he found that when a tall pea plant, with genes TT, was crossed with a short pea plant, with genes tt, that _____ % of the first generation of offspring plants were _____. Which two statements about narrative nonfiction are true? 1.Events and incidents presented are as close to reality as possible.2.Writers use imagination to develop invented events and people.3.The action in the story reflects the writer's central thesis statement.4.Writers can use plot and characterization to develop reflection. what are the feature of labour? PLEASE HELP ASAPSolve the triangle. Round your answers to the nearest tenth.Answer Options:A. mA=41, b=11, c=29B. mA=41, b=13, c=29C. mA=41, b=10, c=29D. mA=41, b=13, c=25.9 Does the graph represent a function and if so, why?A.Yes, no two ordered pairs on this graph have the same second element.B.Yes, there is more than one ordered pair on this graph.C.Yes, no two ordered pairs on this graph have the same first element.D.No, there is a limited number of ordered pairs on this graph. Solve the equation.3 - 6 = 6x - 9 Racial discrimination is a persistent disease in American society and a serious human rights problem A truss is ________________a.a structure made up of one or more triangular units, connected at the joints by long beams.b.the location where the weight and force rests in a construction.c.a type of bridge where the main load-bearing elements are hung from suspension cables.d.a rounded structure capable of supporting a significant amount of weight.