A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

# Complex Derivative

## See also

Cauchy-Riemann Equations, Complex Differentiable, Derivative## Explore with Wolfram|Alpha

## References

Krantz, S. G. "The Complex Derivative." §1.3.5 and 2.2.3 in*Handbook of Complex Variables.*Boston, MA: Birkhäuser, pp. 15-16 and 24, 1999.

## Referenced on Wolfram|Alpha

Complex Derivative## Cite this as:

Weisstein, Eric W. "Complex Derivative."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/ComplexDerivative.html