Home > CALC > Chapter 12 > Lesson 12.1.3 > Problem 12-37
12-37.
Find the equation of the line tangent to the curve x2 y − xy2 = 6 at the point in the first quadrant where y = 1. Homework Help ✎
When y = 1, x2 – 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.