Homework Help Overview
The discussion revolves around the derivation of the linear wave equation, specifically focusing on the use of partial derivatives in relation to the variables of position and time. Participants are exploring the implications of evaluating derivatives at a fixed time while considering the displacement of a string.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster attempts to understand the necessity of partial derivatives when evaluating the tangent of the wave equation at a specific time. Some participants clarify that holding time constant while differentiating with respect to position necessitates the use of partial derivatives.
Discussion Status
Participants are actively engaging in clarifying the concept of partial derivatives and their application in this context. Some have provided helpful explanations regarding the nature of derivatives when multiple variables are involved, and there is an exploration of what derivative would be needed if both position and time were changing.
Contextual Notes
The discussion includes assumptions about the nature of the variables involved and the definitions of different types of derivatives, with a focus on the constraints of the problem as presented in the original post.