# Find the points on the graph of the function that are closest to the given point. f(x) = x^2, (0, 4)?

##
Both smaller x and larger x.

I have attempted to plug this in to the and found the derivative but can not find the answer.

Both smaller x and larger x.

I have attempted to plug this in to the and found the derivative but can not find the answer.

##### 1 Answer

#### Explanation:

The easiest way to solve it is to use the distance formula. Simply put, it is the pythagorean theorem but with any two points.

Given that

To make the derivation simpler, expand it.

In this case, we solve for when this number is at the minimal point. The easiest way to do it is to integrate. Using chain rule, which is:

Note this could be wrong since I have not done calculus in a long time.