# Math Help - Optimization

1. ## Optimization

find the point on the curve y=x^2 closest to the point (3,4)
i have the first derivative to be 4x^3 -14x -6, using the distance formula
Question: 1 i dont know how to get the critical numbers?

2. Originally Posted by henri
find the point on the curve y=x^2 closest to the point (3,4)
i have the first derivative to be 4x^3 -14x -6, using the distance formula
Question: 1 i dont know how to get the critical numbers?
$4x^3 - 14x - 6 = 0$

has three irrational roots ... recommend using a calculator.

3. thanks that was what I was getting as well. The professor removed it because no calculators allowed