A survey of high school seniors from a certain school district who took the SAT has determined that the me score on the mathematics portion was 450 with a standard deviation of 15.5. By a normal probability densi function the data can be modeled as f(x) = 1 e 14.5V2n -(x-750)²/420.5 Find the derivative of the model.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem 5:**

A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 15.5. By a normal probability density function, the data can be modeled as 

\[ f(x) = \frac{1}{14.5 \sqrt{2\pi}} e^{-(x-750)^2/420.5} \]

Find the derivative of the model.
Transcribed Image Text:**Problem 5:** A survey of high school seniors from a certain school district who took the SAT has determined that the mean score on the mathematics portion was 450 with a standard deviation of 15.5. By a normal probability density function, the data can be modeled as \[ f(x) = \frac{1}{14.5 \sqrt{2\pi}} e^{-(x-750)^2/420.5} \] Find the derivative of the model.
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