Finding Partial Derivatives of Equations

  • Context: Undergrad 
  • Thread starter Thread starter alba_ei
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SUMMARY

The discussion centers on finding partial derivatives of the equations sen(x+y) = 2y - arctan y and (e^(x-y))(x-y) = log e. Participants emphasize the importance of showing work and clarifying the objective before assistance can be provided. The distinction between functions and equations is highlighted, with a focus on the necessity of specifying whether the goal is to find partial derivatives of each side of the equations.

PREREQUISITES
  • Understanding of partial derivatives in multivariable calculus
  • Familiarity with trigonometric functions and their derivatives
  • Knowledge of exponential functions and logarithms
  • Basic algebraic manipulation skills
NEXT STEPS
  • Study the rules for calculating partial derivatives of multivariable functions
  • Learn about the differentiation of trigonometric functions, specifically sen(x+y)
  • Explore the properties of exponential functions and their derivatives
  • Review techniques for solving equations involving logarithms
USEFUL FOR

Students in calculus courses, educators teaching multivariable calculus, and anyone seeking to improve their skills in finding partial derivatives of equations.

alba_ei
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Here are a few functions. I can't found the differential

1) sen(x+y) = 2y - arctan y

2) (e^(x-y)) (x-y) = log e
 
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These are clearly homework questions, and so we ask that you show work before we can help you. What do you think?
 
In fact, in addition to showing us what you have tried, it would be a good idea to tell us what it is you are trying to do! Those aren't functions, they are equations. Do you want to find the partial derivatives of each side or what?
 

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