Use implicit differentiation to find an equation for the tangent line to the curve at the given point P.

Question

x² + 2y² − 2x − 8y + 6 = 0, P(0, 3)

would the answer be - ((x-1) / (2y-4))

Answer 1

2x + 4yy' - 2 - 8y' = 0; y' = (1 - x)/(2y - 4). At P(0, 3) y' = 1/2.

Tangent line: y = 3 + 1/2x