Finding Derivatives Implicity In Exercise, find dy/dx implicity.

ln y + y2 = 10

Question

Mathematics

Heather

19 May, 15:42

Finding Derivatives Implicity In Exercise, find dy/dx implicity.

ln y + y2 = 10

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Answers (1)

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Alani Velasquez · Answer 1

dy/dx = 0

Step-by-step explanation:

In y + y^2 = 10

Differentiating In y = 1/ydy/dx

Differentiating y^2 = 2ydy/dx

Differentiating a constant (10) = 0

1/ydy/dx + 2ydy/dx = 0

dy/dx (1/y + 2y) = 0

dy/dx = 0 / (1/y + 2y) = 0

Finding Derivatives Implicity In Exercise, find dy/dx implicity.ln y + y2 = 10

Finding Derivatives Implicity In Exercise, find dy/dx implicity.

ln y + y2 = 10