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:

Market Analysis

The study of market conditions to identify opportunities, trends, and challenges, often involving competitors, customer demographics, and economic environments.

Customer Intimacy

A business strategy focusing on personalized service and building close relationships with customers to meet their specific needs.

Competitive Advantage

A condition or circumstance that puts a company in a favourable or superior business position compared to its competitors.

Industry Knowledge

Understanding and information related to a specific industry, including its trends, key players, and dynamics that influence business operations.