Consider the following. (The graph is called a serpentine.) (-4,-16) Find the derivative of the function. F(x)= Find f'(x) when x = -4. f(-4)=[ y = Rx)= 64 x x² +64 Give the slope of the graph of the function at the point (-4,-5). slope = Find an equation of the tangent line to the graph of f at the point (-4, - 15).

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 serpentine.)
f'(x) =
-8
Find the derivative of the function.
-4,
Find f'(x) when x = -4.
f'(-4)=
y =
y
8
4
-4
-8
64 x
f(x)=²+64
4
8
X
Give the slope of the graph of the function at the point (-4,- 15).
slope =
Find an equation of the tangent line to the graph of f at the point
t(-4,- 15).
Transcribed Image Text:Consider the following. (The graph is called a serpentine.) f'(x) = -8 Find the derivative of the function. -4, Find f'(x) when x = -4. f'(-4)= y = y 8 4 -4 -8 64 x f(x)=²+64 4 8 X Give the slope of the graph of the function at the point (-4,- 15). slope = Find an equation of the tangent line to the graph of f at the point t(-4,- 15).
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