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In Exercises 53 and 54, find both dy/dx (treating y as a
Chapter 3, Problem 53E(choose chapter or problem)
In Exercises 53 and 54, find both \(d y / d x\) (treating y as a differentiable function of x) and \(d x / d y\) (treating x as a differentiable function of y ). How do \(d y / d x\) and \(d x / d y\) seem to be related? Explain the relationship geometrically in terms of the graphs.
\(x y^{3}+x^{2} y=6\)
Equation Transcription:
Text Transcription:
dy/dx
dx/dy
xy^3+x^2y=6
Questions & Answers
QUESTION:
In Exercises 53 and 54, find both \(d y / d x\) (treating y as a differentiable function of x) and \(d x / d y\) (treating x as a differentiable function of y ). How do \(d y / d x\) and \(d x / d y\) seem to be related? Explain the relationship geometrically in terms of the graphs.
\(x y^{3}+x^{2} y=6\)
Equation Transcription:
Text Transcription:
dy/dx
dx/dy
xy^3+x^2y=6
ANSWER:
Solution
Step 1 of 3
In this problem we have to find and
. and explain how do
and
seem to be related.
Given function is .