This symbol represents the gradient of a function.
This symbol represents the gradient of a multivariable function \( \htmlClass{sdt-0000000008}{u} \), that takes in multiple arguments. The symbol signifies a vector operator that operates on a scalar function, resulting in partial derivates of the function.
The symbol, \(\nabla\), represents the gradient of a multivariable function \( \htmlClass{sdt-0000000008}{u} \), that takes in multiple arguments. The symbol signifies a vector operator that operates on a scalar function, resulting in partial derivates of the function.
For example if we have a function \( \htmlClass{sdt-0000000008}{u} \) : (\( \htmlClass{sdt-0000000003}{x} \), \( \htmlClass{sdt-0000000017}{y} \)) \(\rightarrow\) \( \htmlClass{sdt-0000000043}{z} \), then its gradient is \[\nabla(\htmlClass{sdt-0000000008}{u}) = (\frac{\delta \htmlClass{sdt-0000000043}{z}}{\delta \htmlClass{sdt-0000000003}{x}}, \frac{\delta \htmlClass{sdt-0000000043}{z}}{\delta \htmlClass{sdt-0000000017}{y}})\]