1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
3 years ago
5

Find dy/dx given that y = sin(cos(x))​

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Hi there!

\large\boxed{-sin(x)cos(cos(x))}

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))

You might be interested in
11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
wolverine [178]

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

<u>Given</u>:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

<u>Find</u>:

  ∠X, ∠Y, ∠W

<u>Solution</u>:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

7 0
2 years ago
Need help asap<br> will mark you brainliest
Ksenya-84 [330]

Answer:

5^9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the area of the figure.<br><br> PLS I NEED HELP FAST!
Rom4ik [11]

55 ft

base + base2 / 2 x h

8 0
2 years ago
A student is saving money to buy a microscope. The student currently has $50 and plans to save $15 every month. Write a function
Evgen [1.6K]

Answer:

Step-by-step explanation:

The student currently has $50 and plans to save $15 every month.

Let x represent the number of months that the student will save enough money to buy the microscope.

Let y represent the amount that the student saves after x months.

The function that represents the amount y (in dollars) of money that the student saves after x months will be

y = 50 + 15x

The 50 remains constant because she has already saved it

5 0
3 years ago
(cos6x+6cos4x+15cos2x+10)/(cos5x+5cos3x+10cosx)=?
Tasya [4]
Do you mean <span><span><span><span>cos6</span>x+6<span>cos4</span>x+15<span>cos2</span>x+10</span><span><span>cos5</span>x+5<span>cos3</span>x+10cosx</span></span>  ?</span> or <span><span><span>cos6x+6cos4x+15cos2x+10</span><span>cos5x+5cos3x+10cosx</span></span>  ?</span> or <span><span><span><span>cos6</span>x+6<span>cos4</span>x+15<span>cos2</span>x+10</span><span><span>cos5</span>x</span></span>+5<span>cos3</span>x+10cosx  ?</span> or <span><span><span>cos6x+6cos4x+15cos2x+10</span><span>cos5x</span></span>+5cos3x+10cosx  <span>?</span></span>
7 0
3 years ago
Other questions:
  • Solve <br>(10n ) 3 - 6 =0<br>​
    9·1 answer
  • A computer can burn 16 CDs in 48 minutes. How many CDs cand the computer burn in 1 1/5?
    8·1 answer
  • decide whether the following situation is looking for the part, the percent, or the whole: 81 of 271 pages in a book
    11·1 answer
  • What is 1,485 x 7 ? Please help
    10·2 answers
  • Which number added to a rational number will always result in an irrational number?
    6·1 answer
  • Please help me ASAP easy problem giving brainlist!!
    15·1 answer
  • What is your father name?
    5·2 answers
  • PLESE HELP UREGNET GEOMTERY
    12·1 answer
  • What are the coordinate points (x,y) of<br> y-2x =3<br> -x= y-9 <br> PLEASE HELP
    11·1 answer
  • Hey Everyone Pls Help Me Ill Rate 5 stars And Drop A Thanks :D
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!