Partial Derivatives - Multivariable Calculus

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: • Plotting Points In a T...
3D Distance Formula: • How To Find The Distan...
Equation of a 3D Sphere: • How To Find The Equati...
Calculus 3 - Intro to Vectors: • Calculus 3 - Intro To ...
Calculus 3 - The Dot Product: • Calculus 3 - The Dot P...
Angle Between Two Vectors: • Finding The Angle Betw...
Parallel & Orthogonal Vectors: • Are The Two Vectors Pa...
Direction Cosines and Vectors: • Calculus 3 - Direction...
Calculus 3 - Vector Projections: • Calculus 3 - Vector Pr...
Cross Product of 2 Vectors: • Cross Product of Two V...
_______________________________________________________________________________________
Area - Vector Cross Product: • Area of a Parallelogra...
Triple Scalar Product: • Volume of a Parallelep...
Vector Equations of Lines: • How To Find The Vector...
The Equation of a Plane: • How To Find The Equati...
Planar Equation - 3 Points: • How To Find The Equati...
Lines & Planes - Intersection: • How To Find The Point ...
Angle Between Two Planes: • How To Find The Angle ...
Distance Between Point and Plane: • How To Find The Distan...
Chain Rule - Partial Derivatives: • Chain Rule With Partia...
Implicit Partial Differentiation: • Implicit Differentiati...
_______________________________________________________________________________________
Directional Derivatives: • How To Find The Direct...
Limits of Multivariable Functions: • Limits of Multivariabl...
Double Integrals: • Double Integrals
Local Extrema & Critical Points: • Local Extrema, Critica...
Absolute Extrema - Max & Min: • Absolute Maximum and M...
Lagrange Multipliers: • Lagrange Multipliers
Triple Integrals: • Triple Integrals - Cal...
2nd Order - Differential Equations: • Second Order Linear Di...
Undetermined Coefficients: • Method of Undetermined...
Variation of Parameters: • Variation of Parameter...

[@TheOrganicChemistryTutor]

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Can you do a video on calculus 3 topics that fall under partial derivatives such as 1. Limits and Continuity in Higher Dimension 2Directional Derivatives and Gradient Vectors 3. Tangent Planes and Differentials 4.Extreme Values and Saddle Points

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on 12:05 you could also apply laws of logarithm whereby z=lnx^2 -lnY

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It's a great video! I only have one question left... How do I know when the constant becomes 0 or stays the same, when we do differentiate it?

[@realndu]

If we're differentiating with respect to x, y is considered a constant and vice versa. If you're differentiating with respect to one of the variables and the other variable is a stand alone, it will become 0. If the other variable is the product to the variable being differentiated respectively, then its ignored and not made to be 0. Hope this helps :)

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Hi, Why some constant, you leave them as it is, and some you derive them to 0. I am confused. Thanks.

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You leave them when the constants are next to each other without a + in-between , if it's alone you derive it to 0. I hope you understand and Sorry for the late reply :)

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For the first example When we were finding fy? What is the reason that 7 x.squered become =0??????

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There's no "y" variable in that term, and we know that differentiation can extend until you reach zero from y' to y^infinity.

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