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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.