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What is partial differentiation in calculus?

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What is partial differentiation in calculus?

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Partial differentiation pertains to performing a derivative on a function of more than one variable with respect to a specific variable. For example, given the function z = xy, the partial derivative of z with respect to x will equal y. That is because x is the only variable we are taking the derivative with respect to, all other variables would be treated as constants. Example, z = xy. The partial derivative of z with respect to y is equal to x. Example, z = x*y^2 + 2y + x. The partial derivative of z with respect to y is equal to 2xy + 2 + 0.

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