Consider the function \(f(x) = \frac{4x^3}{3} - 16x\), where&nbsp;\(x \in \mathbb{R}\). The graph of \(y = f(x)\) has a local minimum point at \( (p, q)\) where&nbsp;\(p &gt; 0\). Find the value of \(p\) and the value of \(q\).[5]

Consider the function \(f(x) = \frac{4x^3}{3} - 16x\), where \(x \in \mathbb{R}\).
The graph of \(y = f(x)\) has a local minimum point at \( (p, q)\) where \(p > 0\).
Find the value of \(p\) and the value of \(q\).

Applications of Differentiation

International Baccalaureate Mathematics: Analysis and Approaches Standard Level

2025 May TZ1 P1 Q2

2025 May TZ1 P1 Q2