First Derivative Test

First derivative test

graph TB A[First Derivative Test] B[Definition] C[Applications] D[Examples] E[Problems] F[Solutions] G[Resources] A --> B A --> C A --> D A --> E A --> F A --> G B --> H{f'(x)} C --> I{Local Maximum and Minimum} D --> J[Example 1] D --> K[Example 2] E --> L[Problem 1] E --> M[Problem 2] F --> N[Solution 1] F --> O[Solution 2] G --> P[Textbook] G --> Q[Online Resources]