Find fyy (x,y): Partial Derivative of x2y3 + x4y + xe2y

Click For Summary
SUMMARY

The discussion focuses on finding the second partial derivative fyy(x,y) of the function f(x,y) = x2y3 + x4y + xe2y. Participants suggest substituting x with a constant 'a' to simplify the equation into a single-variable function in terms of y. This approach facilitates the calculation of the second derivative with respect to y, making the process more manageable.

PREREQUISITES
  • Understanding of partial derivatives
  • Familiarity with multivariable calculus
  • Knowledge of TeX notation for mathematical expressions
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the process of calculating partial derivatives in multivariable functions
  • Learn how to use TeX for writing mathematical equations
  • Explore the implications of substituting variables in calculus
  • Investigate applications of second partial derivatives in optimization problems
USEFUL FOR

Students and professionals in mathematics, particularly those studying calculus and multivariable functions, as well as educators looking for effective teaching methods in these topics.

hthorne21
Messages
3
Reaction score
0
Find fyy (x,y) where f(x,y) = x2y3 + x4y + xe2y
 
Physics news on Phys.org
This is the part where you show your attempt. Also use ^ to denote power, I assume x2y3 means x^2 y^3. If you know TeX you can write that as [tex]x^2y^3[/tex]
 
Try this: replace every x with the constant a... now the equation should look like it is in one variable, y. So what you need now is to find the second derivative with respect to y. Does that make life easier?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
6K