a 1. The graph of y = where a is a constant is called the witch of Agnessi (named after 2 x²+a² the 18th century Italian mathematician Maria Agnessi). 64 a. Let a = 4, determine the derivative of y = x²+16 64 b. Find an equation of the line tangent to y = at x = 4. x +16

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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a
1. The graph of y
=
where a is a constant is called the witch of Agnessi (named after
2
x²+a²
the 18th century Italian mathematician Maria Agnessi).
64
a. Let a = 4, determine the derivative of y
=
x²+16
64
b. Find an equation of the line tangent to y =
at x = 4.
x +16
Transcribed Image Text:a 1. The graph of y = where a is a constant is called the witch of Agnessi (named after 2 x²+a² the 18th century Italian mathematician Maria Agnessi). 64 a. Let a = 4, determine the derivative of y = x²+16 64 b. Find an equation of the line tangent to y = at x = 4. x +16
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