Video:Partial derivative
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Definition at a point
Generic definition
For a function of two variables
For a function of multiple variables
Definition as a function
Generic definition
For a function of two variables
For a function of multiple variables
Graphical interpretation
For a function of two variables at a point
For a function of multiple variables at a point
Related notions
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Domain considerations
For a function of two variables
Caveats
Value of partial derivative depends on all inputs
For further information, refer: Value of partial derivative depends on all inputs
Meaning of partial derivative depends on entire coordinate system
For further information, refer: Meaning of partial derivative depends on entire coordinate system