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

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

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

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

(−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]

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

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.

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.

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!

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 ⚜

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

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

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.

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:

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

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!

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.

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)

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


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

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:

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

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!

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]

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

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

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

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 .

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

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

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

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