The rate of change of a multi-variable function when all but one variable is held fixed.

Example: a function for a surface that depends on two variables x and y.

When we find the slope in the x direction (while keeping y fixed) we have found a partial derivative.

Example: a function for a surface that depends on two variables x and y.

When we find the slope in the x direction (while keeping y fixed) we have found a partial derivative.

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