Hello,

there is probably a more accurate way to do this question - but here is what I've done:

1.

2. By partial differentiation you'll get:

.......... and.............

3. Therefore:

4. Solve this equation for x:

5. From the equation of the line you'll get:

6. Set equal those terms in x:

and solve for y.

7. You'll get 2 values for y: y = 1 or

8. The corresponding x-values are x = 2 or

9. Plug in these values for x and y into the equation of the curve to determine a:

Graph in brown, tangent point in red.

Graph in blue, tangent point in violet.