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.
Derivatives - Free Formula Sheet: https://bit.ly/4dThzf1
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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
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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
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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