Contributed to the mphowardlab/essential-math repository by enhancing the documentation for partial derivatives, focusing on the inversion and chain rules. The work involved creating clear, example-driven explanations using Markdown, with an emphasis on mathematical accuracy and accessibility for users implementing numerical methods. Technical writing and calculus expertise were applied to clarify complex concepts, improve onboarding, and align the documentation with best practices for technical math communication. The update also included revising contributor credits to foster collaboration and recognition. This effort improved maintainability and user guidance, supporting downstream correctness and adoption without introducing new features or addressing bug fixes.