To find the points where the function has a vertical tangent line, we need to find the values of x where the derivative of the function is undefined.

First, let’s find the derivative of the function F(x) = 2√x.

Using the power rule for differentiation, we have:

F’(x) = (1/2) * 2 * √x^(2-1) = √x

Now, we need to find the values of x where the derivative is undefined. The derivative √x is undefined when x is negative or zero, since we cannot take the square root of a negative number or zero.

Therefore, the function F(x) = 2√x has a vertical tangent line at x = 0 and x < 0.