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
ElenaW [278]
3 years ago
14

Find dy/dx using implicit differentiation cos x + sin y = 1

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Differentiate both sides with respect to <em>x</em>, using the chain rule for the sine term:

\cos(x) + \sin(y) = 1

\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}

You might be interested in
If 3 quarts of paint are needed for 50 ft of fence, how many quarts are needed for 300 ft of fence?
Zina [86]

Answer:

18

Step-by-step explanation:

First, you would do a proportion

\frac{3}{50}=\frac{x}{300}

Then you would cross multiply, getting 50x=900.

After that, you would do 900/50, which is 18.

5 0
3 years ago
Can someone help me. ​
marshall27 [118]

Answer:

B

Step-by-step explanation:

yeah just pick B man lol

7 0
3 years ago
Select the correct answer from each drop-down menu.
Tom [10]

Answer:

Column 1 Row 1 is 150

Column 1 Row 2 is 80

Column 2 Row 1 is -1

Column 2 Row 2 is 1

Column 3 Row 1 is -300

Column 3 Row 2 is 1,700

Step-by-step explanation:

You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.

7 0
2 years ago
Find the difference 78003-32136
deff fn [24]
The difference of 78003 and 32136 is 45867

Hope this helped!!!!!
5 0
3 years ago
Read 2 more answers
My Christmas present to you​
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

if you need help let me know

8 0
3 years ago
Read 2 more answers
Other questions:
  • Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.
    11·2 answers
  • write an equation in slope-intercept form for the line that has the indicated slope, m, and contains the given point. m= -1/2 ,
    15·1 answer
  • Sandra flips a coin.what is the probability that the coin will land on tails?
    11·2 answers
  • What is 3y-13=35 in math
    10·2 answers
  • Someone, pls. I need ur help.
    6·1 answer
  • Add -3 + (-3) = <br> Please help me
    14·2 answers
  • 5x + 7y = 17<br> x + 4y = 19
    15·1 answer
  • 52 &gt; 43 + w
    9·2 answers
  • What is a number increased by 7 multiplied by 4?
    9·1 answer
  • Please help I’ll give you a crown ASAP !!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!