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

partial derivativespartial derivatives of a function of two variablespartial derivatives quotient rulepartial derivatives calculus 3product rulehigher order partial derivativesexamplesfirst order partial derivativessecond order partial derivativesthird order partial derivatives3 variablestwo variablesmixed partial derivativessecond partial derivativesthree variablesquotient rulecalculus 3exponential functionsmultivariable calculus