The discussion focuses on finding the instantaneous rate of change for the implicit function defined by the equation y2 + (xy + 1)3 = 0 at the point (2, -1). The solution involves using implicit differentiation to derive dy/dx. The participant struggled with rearranging the equation into a "y=" format due to the complexity of the terms, specifically the squared and cubed components of y.
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Use implicit differentiation.claytonh4 said:Homework Statement
Find the instantaneous rate of change for the function y2+(xy+1)3=0 at (2,-1)
Homework Equations
N/A
The Attempt at a Solution
I tried getting it into a "y=" format but I don't really understand how to deal with the y when it's squared in one part and cubed in the other. This is as far as I could figure:
y=(-(xy+1)3)1/2
Thanks for any help!