Grim reference (alpha)

ComplexDerivative

Input: ComplexDerivative(f(x), For(x, a))
$$f'(a)$$

Complex derivative. See Derivative for further information about the call syntax.

Input: ComplexDerivative(f(x), For(x, a, n))
$${f}^{(n)}(a)$$

Complex $n$-th derivative. See Derivative for further information about the call syntax.

Input: Equal(ComplexDerivative(f(z), For(z, z)), ComplexLimit((f(z+h)-f(z))/h, For(h, 0)))
$$f'(z) = \lim_{h \to 0} \frac{f\!\left(z + h\right) - f(z)}{h}$$

Complex means that the limit is taken with respect to a complex variable.

Last updated: 2020-03-06 00:22:16