Learn about partial derivative notation, a mathematical concept used to represent the rate of change of a function with respect to one variable while keeping others constant.

Partial derivatives are a way to calculate the rate of change of a multivariable function with respect to one of its variables, while holding the other variables constant. This is denoted using partial derivative notation.

In single-variable calculus, derivatives are denoted by *dy/dx*, where *y* is the dependent variable and *x* is the independent variable. In the case of functions of multiple variables, we use partial derivative notation to indicate which variable we are differentiating with respect to.

The partial derivative of a function *f* with respect to the variable *x* is denoted by *∂f/∂x* or *∂ ^{n}f/∂x^{n}* for higher-order derivatives. The symbol

For a function *f(x, y) = x ^{2}y + 3x - y*, the partial derivative with respect to

Overall, partial derivative notation is essential in multivariable calculus for understanding how functions change with respect to specific variables while holding others constant.

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