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:
3D Distance Formula:
Equation of a 3D Sphere:
Calculus 3 - Intro to Vectors:
Calculus 3 - The Dot Product:
Angle Between Two Vectors:
Parallel & Orthogonal Vectors:
Direction Cosines and Vectors:
Calculus 3 - Vector Projections:
Cross Product of 2 Vectors:
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Area - Vector Cross Product:
Triple Scalar Product:
Vector Equations of Lines:
The Equation of a Plane:
Planar Equation - 3 Points:
Lines & Planes - Intersection:
Angle Between Two Planes:
Distance Between Point and Plane:
Chain Rule - Partial Derivatives:
Implicit Partial Differentiation:
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Directional Derivatives:
Limits of Multivariable Functions:
Double Integrals:
Local Extrema & Critical Points:
Absolute Extrema - Max & Min:
Lagrange Multipliers:
Triple Integrals:
2nd Order - Differential Equations:
Undetermined Coefficients:
Variation of Parameters: