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find the implicit formula of x3=x+y/x-y

Question

find the implicit formula of x3=x+y/x-y

check_circleAnswer
Step 1

Firstly, we multiply both sides by x-y and simplify

х+ у
х- у
(х-у)%-Dх+у
x* - х'у -х-у%0
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х+ у х- у (х-у)%-Dх+у x* - х'у -х-у%0

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Step 2

Now, we differentiate both si...

x* — ху -х -у30
dy
-1-
dy
+ 2x" у
4x3
0 =
(x+1)dy
— 4x) — 2х?у -1
dy _4x* - 2x*у -1
х +1
dx
help_outline

Image Transcriptionclose

x* — ху -х -у30 dy -1- dy + 2x" у 4x3 0 = (x+1)dy — 4x) — 2х?у -1 dy _4x* - 2x*у -1 х +1 dx

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Tagged in

Math

Calculus

Derivative

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