Given that \(y = 4x^3 - 7x^2\), find the value of \(dy/dx\) at the point \((2,4)\).

Hence find the approximate increase in \(x\) which will cause \(y\) to increase from \(4\) to \(4.05\).

Given that \(y = 4x^3 - 7x^2\), find the value of \(dy/dx\) at the point \((2,4)\).

Hence find the approximate increase in \(x\) which will cause \(y\) to increase from \(4\) to \(4.05\).