functions of several variables graphs of functions polynomial functions rational functions level curves level surfaces limits of multivariate functions continuity of multivariate functions partial derivatives higher order partial derivatives tangent planes total differential linear approximation with multivariate functions differentiability chain rule with one independent parameter chain rule with two independent parameters chain rule with several independent parameters directional derivatives the gradient the gradient and directional derivatives steepest ascent and steepest descent normal property of the gradient tangent planes and normal lines relative extrema critical points second partials test absolute extrema lagrange multipliers with one parameter lagrange multipliers with two parameters
Recommended Math Books Thomas' Calculus, Early Transcendentals, Media Upgrade (11th Edition) Thomas' Calculus, Media Upgrade (11th Edition) Thomas' Calculus Early Transcendentals; Student's Solutions Manual; Part One Calculus (With Analytic Geometry)(8th edition) Calculus (Stewart's Calculus Series) Applied Calculus Calculus Textbooks Elementary Calculus Advanced Calculus Supplementary Resources Recommended Math Gifts Math Happy Calculus Happy Homework Happy Limits Happy I Love Math I Love Calculus I Love Homework I Love Multivariate Calculus I Love Limits