Question

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

Answer 1

dy/dx = 0

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