`xy = 6, (-6,-1)` Find `dy/dx` by implicit differentiation and evaluate the derivative at the given point.

Textbook Question

Chapter 2, 2.5 - Problem 21 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Given: `xy=6,(-6,-1)`

`xdy/dx+y=0`

`xdy/dx=-y`

`dy/dx=-y/x`

`dy/dx=-(-6)/(-1)`

`dy/dx=-6`

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