Implicit differentiation dy/dx

Thread starter freetofu
Start date Apr 18, 2010
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Differentiation Implicit Implicit differentiation

Apr 18, 2010

freetofu

Homework Statement

Determine dy/dx
xy^-2 = 1

Homework Equations

The Attempt at a Solution

Here's what I tried:
y^-2 - 2xy^-3(dy/dx) = 1
dy/dx = (y - y^3)/2x

The answer in the book is y/2x. How do you do it?

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Apr 18, 2010

rock.freak667

Homework Helper

You differentiated the left side but not the right side

d/dx(1) = ?

Apr 18, 2010

freetofu

Thanks. Duh.

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