Given the Following Table of Values for a Bessel Function $J_{0}(x)$

question 88

Short Answer

Given the following table of values for a Bessel function, $J_{0}(x)$
, estimate the derivative at x = 0.5.
$\begin{array}{ccccccccccc}x & 0 & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \\J_{0}(x) & 1.0 & .9975 & .9900 & .9776 & .9604 & .9385 & .9120 & .8812 & .8463 & .8075\end{array}$

---

Definitions:

Nicotine

A potent chemical found in tobacco products that acts as a stimulant and can lead to addiction.

Birth Process

The series of physical events and medical interventions involved in the delivery of a baby from the womb to the external world.

First Stage

The first stage often refers to the initial phase of a developmental process or sequence in various contexts, such as psychology or lifecycle development.

Contractions

Refers to the tightening and relaxing of muscles, especially in the context of childbirth, where it pertains to the uterine muscles facilitating birth.