# Math Help - optimization

1. ## optimization

Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1).

2. Originally Posted by mzhang
Use the optimization method to find the point on the curve y =x^2-3 that is closest to the point (0,1).
use the distance formula between the points $(x, x^2-3)$ and $(0,1)$ , then minimize.

3. how do i minimize?

4. how do I minimize?

5. Originally Posted by mzhang
how do I minimize?
take the derivative of your distance function, set the derivative equal to zero, solve for critical values, then determine the critical value that yields a minimum using the first and/or second derivative test.