Convex Optimization, Stephen Boyd and Lieven Vandenberghe, 2004 (Cambridge University Press) - This influential book covers the theoretical and algorithmic aspects of convex optimization, where higher-order derivatives (especially the Hessian) play a fundamental role in analyzing function curvature and convergence of optimization algorithms.
Calculus Online Textbook and Videos, Gilbert Strang, 2010 (Wellesley-Cambridge Press) - This provides a free, high-quality educational resource from MIT that covers foundational calculus concepts including derivatives, concavity, and optimization.