Question: Find dy/dx by implicit differentiation. a. x 2 y = 1 b. (1 2xy 3 ) 5 = x + 4y

Find dy/dx by implicit differentiation.

a. x2y = 1

b. (1 − 2xy3)5 = x + 4y

Step by Step Solution

★★★★★

3.29 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b xy1 dy dx x 12 d ... 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

Students Have Also Explored These Related Calculus With Applications Questions!

Q:

Classify each of the following accounts as an Asset, Liability, or Equity account. a. Office Supplies b. Interest Payable c. Unearned Fee Revenue d. Supplies e. Store Supplies f. Utilities Payable g....

Q:

1. Use double integration in polar coordinates to find the volume of the solid that lies below the surface z = 5 + x y and above the circle x 2 + y 2 = x in the xy-plane. 2. Find the area of the...

Q:

In problems, find dy / dx by logarithmic differentiation (a) (b) y = (x2 + 3x) 9x-2) (x2 +1) (c) Vx + 13 (x 4)V2x + 1

Q:

Question 11 Find dy/dx by implicit differentiation. xy + x = 2 O _ 1+y X O 1+x O _ 1+x y O 1+y Question 12 Find the derivative of the function. y = log3 5x + 9 O 5 In 3 O 5 2(In 3)(5x + 9) O 5 In 3...

Q:

please help 6. [0/6 Points] DETAILS PREVIOUS ANSWERS SCALCET8 3.5.507.XP. Find dy/dx by implicit differentiation. x* (x + y) =y2(7x - y) y' = 7y2 - 4x y - 5x x 4 + 3y- - 14x X 7. [-/6 Points] DETAILS...

Q:

Differentiate. f( x) = 3 - xex xtex f ' ( x ) = X Enhanced Feedback Please try again using the Quotient Rule, which states d [f ( x ) ] - 9( x ) [f ( x ) ] - f ( x ) [g (x) ] d(x ) Lg(x ). Note that...

Q:

2. [-/1 Points] DETAILS LARCALC11 13.5.JIT.002. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. y = v 2 + 3 Need Help? Read It Watch It 3. [-/1 Points] DETAILS...

Q:

4. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALC8 6.6.038. MY NOTES Find dy/dx by implicit differentiation. tan -1(4x2y) = x + 2xy2 1 + 2v2 8xy 1 + (4x2 y) 2 y'= 1 4xy 4x 2 2 X Need Help? Read It Watch...

Q:

Find dy/dx by implicit differentiation. 2 || X x +1

Q:

6) Use the chain rule to differentiate a ) Y = 2 3 X + X 3 y = (sinx ) 6x y 4 e 6x = 7. 2 7) Find y by implicit differentiation. a ) x 2 - 4 xy + y 2 4 b 3 2 3 X X V + = 1DO Differentiate . a ) y =...

Q:

A carousel storage system is to be designed to serve a mechanical assembly plant. The specifications on the system are that it must have a total of 400 storage bins and a throughput of at least 125...

Q:

In New Hampshire, about half the counties mandate the use of reformulated gasoline. This has led to an increase in the contamination of groundwater with methyl terf-butyl ether (MTBE). Environmental...

Q:

The KPMG 2016 report, Global Profiles of the Fraudster gives details of a survey of investigations between March 2013 and August 2015 relating to frauds committed by 750 people worldwide. Where...

Q:

4. Explain depression from each of the modern perspectives and using the eclectic approach. Use You Review: Anxiety from Modern Perspectives as a guide if you need help.

Q:

A research group studied the effect of a large injection of glucose in sheep fed a normal diet compared with sheep that were fasting. A graph of the plasma insulin levels (in pMpico molars, or 10 -12...

Q:

Researchers report that the average amount of milk produced (in kilograms per day) by a 4- to 5-year-old cow weighing 700 kg can be approximated by y = 1.87t 1.49 e -0.189 (ln t)2 , where t is the...

Q:

In certain species of flour beetles, the larvae cannibalize the unhatched eggs. In calculating the population cannibalism rate per egg, researchers needed to evaluate the integral where A is the...

Q:

On November 1,2010 , the comipany paid $2,000 in cash for a one-year insurance policy that ends on November 1, 2011. Record the adjusting entry on December 31, 2010. \begin{tabular}{|lc|} \hline...

Q:

The Alpha Company produces toys for national distribution. Standards for a particular toy are: Materials: 12 ounces per unit at 56 per ounce. Labor: 2 hours per unit at $2.75 per hour. During the...

Q:

The following balances are excerpted from a balance sheet: Dec 31,2008 Dec 31,2007 Prepaid Insurance $6,000 $ 7,500 Interest Receivable 3,700 14,500 Salaries Payable 61,500 53,000 The company paid or...