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Product Rule

Description

This equation represents the product rule, a way to find the derivative of a function that is the multiplication of two other functions, \(\htmlClass{sdt-0000000008}{u}\) and \(\htmlClass{sdt-0000000019}{v}\).

\[(\htmlClass{sdt-0000000008}{u} \cdot \htmlClass{sdt-0000000019}{v})\htmlClass{sdt-0000000025}{'} = \htmlClass{sdt-0000000008}{u}\htmlClass{sdt-0000000025}{'} \cdot \htmlClass{sdt-0000000019}{v} + \htmlClass{sdt-0000000019}{v}\htmlClass{sdt-0000000025}{'} \cdot \htmlClass{sdt-0000000008}{u}\]

Symbols Used:

This is a generic function, that could be of any variable.

\( ' \)

This is the symbol for the derivative of a function. If \(f(x)\) is a function, then \(f'(x)\) is the derivative of that function.

\( v \)

This is a generic function, that could be of any variable.