What is the differentiation of 2cos2x

Answers

Answer 1

2cos2x=y

dy/dx(2cos2x)=-4sin2x

d/du cosu= u'×cos'u=-u'×sinu

d/du sinu= u'×sin'u= u'×cosu

d/du tanu = u'×(1+tan²u)

d/du cotu = u'×-(1+cot²u)

proof for cosu :

cos2x= 1-2sin²x

or 2cosx²-1

or cos²x-sin²x

we will one of this fro example let's take the first one

d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x

and we have 2 in the begining so its -4sin2x


Related Questions

Answer this question please

Answers

9514 1404 393

Answer:

  A.  500 cm²

Step-by-step explanation:

The height of the piece of cardboard is the same as the height of the prism: 20 cm.

The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.

The area of the cardboard is the product of its height and width.

  A = HW

  A = (20 cm)(25 cm) = 500 cm²

Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5

Answers

F. 13.5 bett i and conquest of rights and

The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?

Answers

My answer is in the picture

in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket​

Answers

If 110 students play both
The 300 that play volleyball includes them.
That’s mean that 190 (300-110) play only volleyball
Also (the same) 200 play cricket, so only cricket play 90 students (200-110)
Answer: either volleyball or cricket is
(300-110)+(200-110) = 190+ 90 = 280
Answer: 280

what is the diagnosis of a rectangular room which measures 16 feet by 7 feet ​

Answers

The area would be 112 feet
The circumference would be 46feet

If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ? ​

Answers

Answer:

which class Of question is this

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ‍♀️

Answers

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

How to solve 3/7m=6 ?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]m = 14[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?

Answers

Answer: $133.20

Step-by-step explanation:

518 dollars
100%-30%=70%
70 as a decimal is 0.7.
0.7 times 740 is 518

1466899876+245689999999&&

Answers

1466899876+245689999999 = 247156899875

please mark this answer as brainlist

Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)




Answers

The answer should be (2,5) (11,2)

3√12•√6

please show a step by step explanation ​

Answers

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
f(x) = -x +11
g(x) = 3x^2– x+ 14

Answers

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

15 cm
C
8 cm
Perimeter =
cm, Area =
square cm

Answers

Answer:

refer to workings

Step-by-step explanation:

Perimeter=15+15+8+8=46cm

Area=15×8=120cm²

Graph the compound inequality on the number line.

x≤4 or x≥8

Answers

Answer:

x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right

Step-by-step explanation:

Not sure how to explain it.

Mathematicians please help me solve this question. Am marking the brainliest.

Answers

Step-by-step explanation:

Let [tex]x = r\cos{\theta}[/tex] and [tex]y = r\sin{\theta}[/tex]. Substituting these into our equation, it becomes

[tex]\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1[/tex]

or

[tex]9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 225[/tex]

Let use the identity [tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex] to express the equation in terms of sine only:

[tex]9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 225[/tex]

which simplifies to

[tex]r^2(9 + 16\sin^2{\theta}) = 225[/tex]

Taking the square root and solving for r , we get the polar form of the equation as

[tex]r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}[/tex]

Answer:

x = r\cos{\theta}x=rcosθ and y = r\sin{\theta}y=rsinθ

\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1

25

r

2

cos

2

θ

+

9

r

2

sin

2

θ

=1

or

9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 2259r

2

cos

2

θ+25r

2

sin

2

θ=225

Let use the identity \cos^2{\theta} = 1 - \sin^2{\theta}cos

2

θ=1−sin

2

θ

9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 2259r

2

−9r

2

sin

2

θ+25sin

2

θ=225

which simplifies to

r^2(9 + 16\sin^2{\theta}) = 225r

2

(9+16sin

2

θ)=225

Taking the square root and solving for r ,

r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}r=

9+16sin

2

θ

15

Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef

Answers

Answer: De and Ef

Step-by-step explanation:

Brianna predicted that 16 puppies would
be sold at the pet store on Saturday.
However, only 9 were sold. What was
Brianna's percent error?

Answers

100% + 1992 = 16 there i’m so smart baka

1Determine the vertex of the quadratic function f(x) = (x - 3)^2 +7.

Please give detailed steps!! thank you

Answers

Answer:

vertex = (- 3, 7 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 3)² + 7 ← is in vertex form

with vertex = (3, 7 )

14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13

please give detailed steps/walkthrough!! thank you

Answers

Answer:

When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.

In this question... We needed the y - Intercept

Know This: At the intercept of a mentioned axis...The other axis is zero at that point.

In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa

So To find the y Intercept... the x value at this point is zero(0).

With this in Mind...

substitute x = 0 into the quadratic eqn

f(x) = 0² +8(0) - 13

f(x) = -13

This is Our Y Intercept .

To get the x intercept(if asked)

substitute y = 0 and solve

0 = x² + 8x - 13

This is a quadratic equation

Solving this would get you two value and those values would be your x intercept.

I hope it helps.

Have a great day.

2n-3/5=5
Solve for n

Answers

Okay this is the answer I hope this help

Welp plss this i do 360/30??

Answers

Answer:

12 sides

Step-by-step explanation:

its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.

180n-360=150n30n=360n=360/30=12

4/x-7=7/x+6

What is x

Answers

Answer:

21

Step-by-step explanation:

[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]

Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game

Answers

Eli will pay 10 dollars and the discount is 25 dollars

Answer:

He will pay $10

Step-by-step explanation:

35-25=10

solve missing values for triangles

Answers

Answer:

32±b±90=180(being the three angle of a treangle)

32±90±b=180

122±b=180

B=180-122

b=58 answer

90±23±d=180(being three angle of the trangle)

113±d=180

d=180-113

d=78 answer

Answer

:.b=58

:.d=78

Thank you

7 chickens laid 35 eggs. How many eggs will be laid by 40 chickens?
Plz help

Answers

Answer:

200

Step-by-step explanation:

The height of a certain mountain in California is 14,857 ft. The depth of a known trench in the Pacific Ocean is - 23,128 ft. What is the difference between the height
of the mountain and the depth of the trench?

Answers

Answer:

The difference between the height of the mountain and the depth of the trench is 8,271 ft.

Step-by-step explanation:

brainliest plz?

Write 52,640 in scientific notation. Please​

Answers

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

Simplifying fractions Sheet 2

Answers

Simplifying fractions:

1) [tex]\frac{14}{20} =\frac{7}{10}[/tex]                  2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]

3) [tex]\frac{9}{12} =\frac{3}{4}[/tex]                  4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]

5) [tex]\frac{8}{18} =\frac{4}{9}[/tex]                  6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]

7) [tex]\frac{12}{16} =\frac{3}{4}[/tex]                  8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]

9) [tex]\frac{15}{35}=\frac{3}{7}[/tex]                 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]

11) [tex]\frac{11}{55}=\frac{1}{5}[/tex]                12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]

13) [tex]\frac{16}{26} =\frac{8}{13}[/tex]              14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]

15) [tex]\frac{18}{24} =\frac{3}{4}[/tex]               16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]

17) [tex]\frac{4}{32} =\frac{1}{8}[/tex]               18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]

Hope this helps :)

Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

Answers

Answer:

$1080

Step-by-step explanation:

s=30w+750

s=30(11)+750

s=330+750

s=1080

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