To find the derivative of the function F(x) = 2√x with respect to x, we can use the power rule for differentiation.

The power rule states that if we have a function of the form f(x) = x^n, where n is a constant, then the derivative of f(x) with respect to x is given by f’(x) = n*x^(n-1).

In this case, we have f(x) = 2√x, which can be written as f(x) = 2*x^(1/2). Applying the power rule, we get:

f’(x) = (1/2)2x^(1/2 - 1) = (1/2)2x^(-1/2) = x^(-1/2) = 1/√x

Therefore, the derivative of F(x) = 2√x with respect to x is F’(x) = 1/√x.