robability density function e(, z€ (-, 00) 1 or the normal distribution, the mean u is zero, and the standard deviation o is 1, giving 1 constant V27 "ind where the function has a horizontal tangent line using the derivative and setting it equal o zero. Give the equation of this tangent line. int: Find y' and set y' = 0 to find the value of x, then you can find the function of tangent line nswer key: y V2n

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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Exercise To Try 15 Application: Statistics The Gaussian distribution is given by the
probability density function
1
y =
rE (-0, 00)
For the normal distribution, the mean u is zero, and the standard deviation o is 1, giving
= constant
V27
Find where the function has a horizontal tangent line using the derivative and setting it equal
to zero. Give the equation of this tangent line.
Hint: Find y' and set y' = 0 to find the value of x, then you can find the function of tangent line
Answer key: y
1
2n
Transcribed Image Text:Exercise To Try 15 Application: Statistics The Gaussian distribution is given by the probability density function 1 y = rE (-0, 00) For the normal distribution, the mean u is zero, and the standard deviation o is 1, giving = constant V27 Find where the function has a horizontal tangent line using the derivative and setting it equal to zero. Give the equation of this tangent line. Hint: Find y' and set y' = 0 to find the value of x, then you can find the function of tangent line Answer key: y 1 2n
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