There Is a Function Used by Statisticians, Called the Error $\begin{array}{cc}x & \operatorname{erf}(x) \\1 & 0.29793972 \\0.1 & 0.03976165 \\0.01 & 0.00398929 \\0.001 & 0.000398942&\\0&0\end{array}$

question 82

Short Answer

There is a function used by statisticians, called the error function, which is written y = erf (x).Suppose you have a statistical calculator, which has a button for this function.Playing with your calculator, you discover the following:
$\begin{array}{cc}x & \operatorname{erf}(x) \\1 & 0.29793972 \\0.1 & 0.03976165 \\0.01 & 0.00398929 \\0.001 & 0.000398942&\\0&0\end{array}$

Using this information alone, give an estimate for erf'(0), the derivative of erf at x = 0 to 4 decimal places.

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