Use implicit differentiation to find dy/dx and then find the equation of the tangent line to the dx x2 − 3xy2 = x − 12. curve at x = 1 and y = −2 where

Question

Use implicit differentiation to find dy/dx and then find the equation of the tangent line to the curve at x = 1 and y = −2 where x^2 − 3xy^2 = x − 12

Answer 1

2x - 3y² - 6xyy' = 1; AT (1, - 2) we have: 2 - 12 + 12y' = 1; slope m = y' = 11/12;

Equation of tangent line y = - 2 + 11/12(x - 1); y = 11/12x - 35/12

Answer 2

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