The discussion revolves around finding dy/dt using the chain rule in the context of an implicit differentiation problem involving the equation 4x^3 - 6xy^2 + 3y^2 = 228.
Some participants have offered guidance on differentiating the given equation with respect to t and substituting known values. There is an exploration of the relationship between dy/dx and dy/dt, with one participant noting the need to include dx/dt in the expression for dy/dt.
Participants are working under the constraints of implicit differentiation and the need to relate derivatives through the chain rule. There is an emphasis on understanding the connections between the derivatives involved.
kweig said:Homework Statement
So I'm trying to find dy/dt. I used the chain rule to find dx/dt. I just don't understand how to put that answer back into an equation to find dy/dt
Homework Equations
4x^3-6xy^2+3y^2=228
The Attempt at a Solution
I found dx/dt=3 x=-3 and y=4
So how/what equation do I use to find dy/dt
kweig said:The implicit differentiation?
kweig said:I got dy/dt=(2x^2-y^2)/(y(2x-1))