Chapter 2.6, Problem 5E

### Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Chapter
Section

### Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
24 views

# Find d y / d x by implicit differentiation. x 2 − 4 x y + y 2 = 4

To determine

To find:

dy dx

by implicit differentiation.

Explanation

1) Formula:

i. Power rule:

dÂ xndx=Â Â nÂ xn-1Â

ii. Product rule:

dÂ (f*g)dx=f'*g+f*g'

iii. Constant rule:

d(c)dx=0

2) Given:

x2-4xy+Â y2Â =4

3) Calculations:

x2-4xy+Â y2Â =4

Use power rule to find derivative of x2Â andÂ y2, product rule for 4xy and constant rule for 4

Â 2*x2-1-4xdydx+y+Â 2*Â y2-1dydxÂ =0

2x-4xdydx-4y+Â 2ydydxÂ =0Â

Combine like terms

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started