How do you differentiate complex functions?

How do you differentiate complex functions?

To differentiate complex functions, you can use the rules of differentiation, such as the product rule, quotient rule, and chain rule.

Can you give me an example of differentiating a complex function?

Sure! For example, if you have the function f(z) = z^2 + 3z + 2, the derivative f'(z) would be 2z + 3.

What if the function involves trigonometric components?

If the function is f(z) = sin(z) + z^2, you would differentiate it as f'(z) = cos(z) + 2z.

Are there any special considerations for differentiating complex functions?

Yes, when differentiating complex functions, ensure that the function is holomorphic in the region of interest, meaning it must be complex differentiable.