The discussion revolves around finding the derivative \(\frac{dy}{dx}\) for the equation \(y + e^y = x^2\), where \(y\) is defined as a function of \(x\). The problem involves implicit differentiation as a method to derive the relationship between \(y\) and \(x\).
There is a progression in the discussion where participants explore the differentiation process. Guidance has been offered regarding the necessity of implicit differentiation, and some participants have begun to derive expressions for the derivative.
Participants express uncertainty about the initial steps in the differentiation process, indicating a need for clarification on the application of implicit differentiation in this context.
rab-c said:Homework Statement
find [itex]\frac{dy}{dx}[/itex] when y is defined as a function of x by the equation
y+[itex]e^y = x^2[/itex]
Homework Equations
The Attempt at a Solution
hi all,
do i use implicit differentiation for this? I am not really sure how to start...