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Partial Derivatives and Differentiability of Multivariable Functions

Differentiability of a scalar-valued function of many variables, the partial derivative with respect to one variable as the local rate of change holding the others fixed, and the reading of that derivative as the slope of the function's surface at a point.

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in Multivariable Calculus: Partial Derivatives using Power Rule and Chain Rule

Partial differentiation is a fundamental operation in multivariable calculus used to determine the rate of change of a function with respect to one specific independent variable while holding all oth…