The derivative of the normal probability density function (PDF) is a foundational concept in probability theory and statistics. It quantifies the rate of change of the PDF with respect to its input, providing valuable information about the underlying distribution.
The derivative of the normal PDF is a bell-shaped curve that is symmetric about the mean. Its peak occurs at the mean, and it decays exponentially as the distance from the mean increases. This shape reflects the fact that the normal distribution is most likely to occur near its mean and becomes less likely as one moves away from the mean.
