- #31
Schaus
- 118
- 5
Alright, well I just got both. Can't hurt to have more.
Find the equation of the tangent line of the curve
- Thread starter Schaus
- Start date
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Homework Help Overview
The discussion revolves around finding the equation of the tangent line to the curve defined by the equation \( xy^2 + \frac{2}{y} = 4 \) at the point (2,1). Participants are exploring implicit differentiation as a method to derive the slope of the tangent line.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss the application of implicit differentiation and the product rule in their attempts to differentiate the given equation. There are questions about the correctness of the differentiation steps and the application of the chain rule. Some participants express confusion regarding the derivatives of specific terms and the overall setup of the differentiation process.
Discussion Status
The discussion is ongoing, with participants providing feedback on each other's differentiation attempts. Some guidance has been offered regarding the correct application of the product and chain rules, but there is no explicit consensus on the correct approach yet.
Contextual Notes
Participants are grappling with the rules of differentiation, particularly in the context of implicit differentiation, and there are indications of varying levels of understanding among them. The original poster has expressed a desire for clarification on their approach.
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