Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the function. f'(x) = Find f'(x) when x = 2. f'(2) = -2 y = 6 f(x)= 9 x² +5 (2,1) 2 X Give the slope of the graph of the function at the point (2, 1). slope = Find an equation of the tangent line to the graph of f at the point (2, 1).

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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Consider the following. (The graph is called a Witch of Agnesi.)
y
Find the derivative of the function.
f'(x) =
Find f'(x) when x = 2.
f'(2) =
-2
y =
6
-24
f(x) =
9
x² +5
(2,1)
X
Give the slope of the graph of the function at the point (2, 1).
slope =
Find an equation of the tangent line to the graph of f at the point (2, 1).
Transcribed Image Text:Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the function. f'(x) = Find f'(x) when x = 2. f'(2) = -2 y = 6 -24 f(x) = 9 x² +5 (2,1) X Give the slope of the graph of the function at the point (2, 1). slope = Find an equation of the tangent line to the graph of f at the point (2, 1).
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