How to Solve Implicit Differentiation Problems with Tan(xy)=xy?

Click For Summary
SUMMARY

The discussion centers on solving the implicit differentiation problem involving the equation tan(xy) = xy. The user initially struggles with obtaining a definitive answer when differentiating with respect to x and y. However, they later resolve the issue independently, indicating that the problem can be solved correctly with proper application of implicit differentiation techniques.

PREREQUISITES
  • Understanding of implicit differentiation
  • Familiarity with trigonometric functions, specifically tangent
  • Knowledge of the product rule in calculus
  • Ability to differentiate composite functions
NEXT STEPS
  • Review implicit differentiation techniques in calculus
  • Practice problems involving trigonometric identities and differentiation
  • Study the product rule and its applications in implicit differentiation
  • Explore examples of composite functions and their derivatives
USEFUL FOR

Students studying calculus, particularly those focusing on implicit differentiation and trigonometric functions, as well as educators looking for examples to illustrate these concepts.

blader324
Messages
48
Reaction score
0
okay, so i have the problem tan(xy)=xy and i am told to implicitly differentiate in terms of x and y. when i do, i keep getting an indefinite answer. i need help because i know that's not right.
 
Physics news on Phys.org
blader324 said:
okay, so i have the problem tan(xy)=xy and i am told to implicitly differentiate in terms of x and y. when i do, i keep getting an indefinite answer. i need help because i know that's not right.
Show your work.
 
nevermind...i was able to figure it out...sorry about that :)
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
11K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K