This calculus 3 video tutorial explains how to find first order partial derivatives of functions with two and three variables. It provides examples of differentiating functions with respect to x or with respect to y using techniques such as the product rule, quotient rule, and power rule. This video contains plenty of examples and practice problems. 3D Coordinate System: https://www.youtube.com/watch?v=EzJP9uwV3ms 3D Distance Formula: https://www.youtube.com/watch?v=0c6cP2zLC2c Equation of a 3D Sphere: https://www.youtube.com/watch?v=9DyPyJb2N9g Calculus 3 - Intro to Vectors: https://www.youtube.com/watch?v=2_21erD-nBg Calculus 3 - The Dot Product: https://www.youtube.com/watch?v=Te8eL5r7aJs Angle Between Two Vectors: https://www.youtube.com/watch?v=dYPRYO8QhxU Parallel & Orthogonal Vectors: https://www.youtube.com/watch?v=8fIZ2v-33xw Direction Cosines and Vectors: https://www.youtube.com/watch?v=ZoCxUV893fo Calculus 3 - Vector Projections: https://www.youtube.com/watch?v=Rw70zkvqEiE Cross Product of 2 Vectors: https://www.youtube.com/watch?v=pWbOisq1MJU _______________________________________________________________________________________ Area - Vector Cross Product: https://www.youtube.com/watch?v=YbZmAqGUkqc Triple Scalar Product: https://www.youtube.com/watch?v=6NeAK0rJwlk Vector Equations of Lines: https://www.youtube.com/watch?v=MkjazYnvNP8 The Equation of a Plane: https://www.youtube.com/watch?v=2sZKZHyaQJ8 Planar Equation - 3 Points: https://www.youtube.com/watch?v=rL9UXzZYYo4 Lines & Planes - Intersection: https://www.youtube.com/watch?v=_W3aVWsMp14 Angle Between Two Planes: https://www.youtube.com/watch?v=7G07dPSlWbY Distance Between Point and Plane: https://www.youtube.com/watch?v=zWMTTRJ0l4w Chain Rule - Partial Derivatives: https://www.youtube.com/watch?v=XipB_uEexF0 Implicit Partial Differentiation: https://www.youtube.com/watch?v=OBELQIPH5xY _______________________________________________________________________________________ Directional Derivatives: https://www.youtube.com/watch?v=CnVes9TdnPo Limits of Multivariable Functions: https://www.youtube.com/watch?v=E1lMMBpz8YM Double Integrals: https://www.youtube.com/watch?v=BJ_0FURo9RE Local Extrema & Critical Points: https://www.youtube.com/watch?v=UID893EosM8 Absolute Extrema - Max & Min: https://www.youtube.com/watch?v=Hg38kfK5w4E Lagrange Multipliers: https://www.youtube.com/watch?v=5-CUqogfPLY Triple Integrals: https://www.youtube.com/watch?v=7iy83x8bv6o 2nd Order - Differential Equations: https://www.youtube.com/watch?v=uI2xt8nTOlQ Undetermined Coefficients: https://www.youtube.com/watch?v=P3fc6v191mA Variation of Parameters: https://www.youtube.com/watch?v=Ik3YW1JGr_A