1. **Problem statement:** The temperature along a metal rod is given by a function $T(x)$ where $x$ is the position in meters along the rod from 0 to 62. 2. **Find stationary points:** Stationary points occur where the first derivative $T'(x) = 0$. 3. **Use the second derivative test:** Calculate $T''(x)$ and evaluate it at each stationary point to classify it as a local maximum (if $T''(x) < 0$) or local minimum (if $T''(x) > 0$). 4. **Check endpoints:** Evaluate $T(0)$ and $T(62)$ to find the temperature at the ends of the rod. 5. **Determine global maximum:** Compare temperatures at stationary points and endpoints to find the highest temperature and its location. *Note: The exact function $T(x)$ was not provided, so the steps are general for any temperature function along the rod.*