A Table of Values for a Function F near X $F ^ { \prime } ( 3 )$

question 47

Short Answer

A table of values for a function F near x = 3 and tables of values for a function G near x = 3 and near x = 7 are given below.Estimate $F ^ { \prime } ( 3 )$ using the right-hand estimate.
$$\begin{array} { c c c c } x & 2.9 & 3.0 & 3.1 \\F ( x ) & 6.7 & 7.0 & 7.3 \\G ( x ) & 5.2 & 5.0 & 4.8\end{array}$$ $\begin{array} { c c c c } \boldsymbol { x } & 6.9 & 7.0 & 7.1 \\G ( x ) & 0.95 & 1.00 & 1.05\end{array}$

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