Let \(f:(0, \infty) \rightarrow \mathbf{R}\) be a function which is differentiable at all points of its domain and satis…

Let \(f:(0, \infty) \rightarrow \mathbf{R}\) be a function which is differentiable at all points of its domain and satisfies the condition \(x^2 f^{\prime}(x)=2 x f(x)+3\), with \(f(1)=4\). Then \(2 f(2)\) is equal to :

[JEE Main 2025, 24 Jan (Shift 2)]