Let us consider a curve, \(y=f(x)\) passing through the point \((-2,2)\) and the slope of the tangent to the curve at an…

Let us consider a curve, \(y=f(x)\) passing through the point \((-2,2)\) and the slope of the tangent to the curve at any point \((x, f(x))\) is given by \(f(x)+x f^{\prime}(x)=x^2\). Then:

[JEE Main 2021, 27 Aug (Shift 1)]