Fungrim home page

Fungrim entry: 2a11ab

ddz z=12z\frac{d}{d z}\, \sqrt{z} = \frac{1}{2 \sqrt{z}}
Assumptions:z∈C∖(−∞,0]z \in \mathbb{C} \setminus \left(-\infty, 0\right]
TeX:
\frac{d}{d z}\, \sqrt{z} = \frac{1}{2 \sqrt{z}}

z \in \mathbb{C} \setminus \left(-\infty, 0\right]
Definitions:
Fungrim symbol Notation Short description
Derivativeddz f ⁣(z)\frac{d}{d z}\, f\!\left(z\right) Derivative
Sqrtz\sqrt{z} Principal square root
CCC\mathbb{C} Complex numbers
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("2a11ab"),
    Formula(Equal(Derivative(Sqrt(z), Tuple(z, z, 1)), Div(1, Mul(2, Sqrt(z))))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, OpenClosedInterval(Neg(Infinity), 0)))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC