Question: Find dy/dx by implicit differentiation. (a) x3 + y3 = 1 (b) x2 + xy - y2 = 4 (c) x4(x + y) = x2

Find dy/dx by implicit differentiation.
(a) x3 + y3 = 1
(b) x2 + xy - y2 = 4
(c) x4(x + y) = x2 (3x - y)

Step by Step Solution

★★★★★

3.43 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a d dx x 3 y 3 d dx 1 3x 2 3y 2 y 0 3y 2 y 3x 2 y x 2 y 2 b d dx x 2 xy y 2 d dx 4 2x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

786-C-D-E (438).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Find dy/dx by implicit differentiation. tan (x - y) = y/1 + x 2

Q:

Find dy/dx by implicit differentiation. sin(xy) = cos (x + y)

Q:

Find dy/dx by implicit differentiation. x sin y + y sin x = 1

Q:

Week 5 WRITTEN ASSINGNMENT MATH 201 ONLINE I pledge that the work presented here is entirely my own. Signature _________________________________ Print name ________________________________...

Q:

1. [1/3 Points] DETAILS PREVIOUS ANSWERS SCALCCCH4 3.5.001. MY NOTES PRACTICE ANOTHER 4. [-/1 Points] DETAILS SCALCCCH4 3.5.013. MY NOTES PRACTICE ANOTHER Consider the following. Find dy/dx by...

Q:

Calculus: 1-4 1. [-/0.1 Points] DETAILS SESSCALC2 2.6.003.MI. Find dy/dx by implicit differentiation. x4 + y' = 8 y' Need Help? Read It Watch It Master It 2. [-/0.1 Points] DETAILS SESSCALC2...

Q:

16. [0/025 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.5.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find dy/dx by implicit differentiation. y 5+X2 tan(x y) = 17. [0/025 Points] DETAILS PREVIOUS...

Q:

#16, 21, 23 and 24 please show all the steps. Finding a Derivative In Exercises 5-26, find dy/dx by implicit differentiation. - 5. x2 + y2 = 9 7. x + y = 16 9. x3 - xy + y2 = 7 11. x3y3 - y = x 13....

Q:

1) Is sin(x+y)=y 2 cos x, find dy/dx 2)Use implicit differentiation to find dy/dx, x 2 + xy+ y 2 + 1 =0 3)If x sin y + y sin x =1 , find dy/dx 4) If y sin (x 2 ) = x sin (y 2 ) , find dy/dx 5) Use...

Q:

1) Is sin(x+y)=y 2 cos x, find dy/dx 2)Use implicit differentiation to find dy/dx, x 2 + xy+ y 2 + 1 =0 3)If x sin y + y sin x =1 , find dy/dx 4) If y sin (x 2 ) = x sin (y 2 ) , find dy/dx 5) Use...

Q:

Compute the adjusted capital of X and Y using the bonus method. Prepare the journal entries to record the contributions. Compute the amount of bonus. X and Y agreed to form a partnership. They also...

Q:

True Tab Inc. produces a small and large version of its popular electronic scale. The anticipated unit sales for the scales by sales region are as follows: The finished goods inventory estimated for...

Q:

Which of the following are not capital market instruments? Multiple Choice Treasury bills 2 0 - year Treasury bonds 1 0 - year corporate bonds 3 0 - year mortgages 1 5 - year U . S . government...

Q:

3. You have bt:'en tent.ltiwly assigned to .1 project that h,1s not yet received final .1pproval. Several stakeholders who will likely be involved or impacted by the project have already been identi...

Q:

Calculate y'. y = x + 1 (2 - x) 5 /(x + 3) 7

Q:

Prove the identity. 1 + tanh x / 1 - tanh x = e 2x

Q:

Find the derivative. Simplify where possible. y = x tanh -1 x + ln 1 - x 2

Q:

MINICASE Stock Valuation at Ragan, Inc. Ragan, Inc., was founded nine years ago by brother and sister Carrington and Genevieve Ragan. The company manufactures and installs commercial heating,...

Q:

Given the functional dependency for the attributes of ENTITY 1 , X - > ( A , B , C ) , X is a candidate key for the relation ENTITY 1 ( A , B , C , X ) . Question 2 0 options: True False

Q:

is it correct? For each of the following, determine whether the account would appear on an income statement or a balance sheet: 1. Balance Sheet 2. Income Statement