### Home > CALC > Chapter 12 > Lesson 12.1.3 > Problem 12-37

12-37.

Find the equation of the line tangent to the curve *x*^{2} *y − xy*^{2} = 6 at the point in the first quadrant where *y* = 1. Homework Help ✎

When *y* = 1, *x*^{2} – *x* = 6.

Therefore *x* = ?

Substitute the values of the coordinates of the point into the equation in Step 2. Then solve for *y′*.

Use the point from Step 1 and the slope (*y′*) from Step 3 to write the equation of the tangent line.