Video:Partial derivative

From Calculus

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Definition at a point

Generic definition

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For a function of two variables

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For a function of multiple variables

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Definition as a function

Generic definition

For a function of two variables

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For a function of multiple variables

Graphical interpretation

For a function of two variables at a point

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For a function of multiple variables at a point

Related notions

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Domain considerations

For a function of two variables

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Caveats

Value of partial derivative depends on all inputs

For further information, refer: Value of partial derivative depends on all inputs

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Meaning of partial derivative depends on entire coordinate system

For further information, refer: Meaning of partial derivative depends on entire coordinate system

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