ppose f(x) is a continuous differentiable function. Some of the values of the function and its derivative are shown below. -2 1 2 3 6 4 -2 -5 7 -3 6 4 3 0 2 X f(x) f'(x) Let g(x) = f(). Find g'(x). '(x) = -($) ** ( ² ) − 9 '(x) = ($)ƒ'( § ) "g'(x) = -6 f'(²) 'g'(x) = (§ ) ƒ'( ² ) - g'(x) = f'( ² ) ow find g'(3) = ) Find the equation of the tangent line to f(x) at x = 1. Use y as the dependent variable. ow approximate f(7) =

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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Suppose f(x) is a continuous differentiable function. Some of the values of the function and its derivative are shown below.
X
-2
3 6
7 -3
f(x)
4
F'(x) 6
0
2
(a) Let g(x) = f($). . Find g'(x).
Og'(x) = -(2/2) (²)
Og'(x) = ($)F($)
Og'(x) = -6f'()
Og'(x) = ($) f'( )
Og'(x) = f'( =)
Now find g'(3)
2
-2 -5
4
3
=
(b) Find the equation of the tangent line to f(x) at x = 1. Use y as the dependent variable.
Now approximate f(7) =
Transcribed Image Text:Suppose f(x) is a continuous differentiable function. Some of the values of the function and its derivative are shown below. X -2 3 6 7 -3 f(x) 4 F'(x) 6 0 2 (a) Let g(x) = f($). . Find g'(x). Og'(x) = -(2/2) (²) Og'(x) = ($)F($) Og'(x) = -6f'() Og'(x) = ($) f'( ) Og'(x) = f'( =) Now find g'(3) 2 -2 -5 4 3 = (b) Find the equation of the tangent line to f(x) at x = 1. Use y as the dependent variable. Now approximate f(7) =
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