4.02: Approximate change using differentiation
The variables \(x\) and \(y\) are related by \(y=3\sqrt{x}+\dfrac{1}{\sqrt{x}}\).
Use calculus to find the approximate change in \(y\) when \(x\) increases from \(4\) to \(4+h\), where \(h\) is small.
See the official mark scheme below.
