Q1:
PYP 2025
Calculus > Application of Derivatives
Easy
Let $f: \mathbb{R} \to \mathbb{R}$ be a function such that $f'(x) = (x - 2024)^3(x - 2025)(x - 2026)^2$ for all $x \in \mathbb{R}$. Let $g: \mathbb{R} \to (0, \infty)$ be a function such that $g(x) = \sqrt{f(x)}$ for all $x \in \mathbb{R}$. Then the number of points at which $g(x)$ has a local maximum is:
Correct Answer
Option 2
Correct Answer