Derivative

$$f'(a)$$

The derivative of $f(z)$ evaluated at $z = a$. This operator is ambiguous since the intended meaning could be a real derivative, a complex derivative, or some other form of derivative. It is better to use RealDerivative, ComplexDerivative, ComplexBranchDerivative or MeromorphicDerivative depending on the purpose.

$${f}^{(n)}(a)$$

The $n$-th derivative of $f(z)$ evaluated at $z = a$.

$$\left[ \frac{d}{d z}\, \frac{1}{f(z)} \right]_{z = a}$$

The rendering is affected by whether the target expression is a simple function call.

$$\left[ \frac{d^{n}}{{d z}^{n}} \frac{1}{f(z)} \right]_{z = a}$$

The rendering is affected by whether the target expression is a simple function call.

$$f'(z)$$

Valid (but potentially confusing): z becomes a bound variable for the expression f(z), but the resulting derivative is evaluated at the value of z defined in the surrounding scope.

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