Question

Consider the following. $y = x^3 - 9x^2 + 27x - 18$ y 20 18 16 14 12 10 8 6 4 2 x -2 -1 1 2 3 4 5 6 (a) Estimate the coordinates of the relative maxima, relative minima, or horizontal points of inflection by observing the graph. (If an answer does not exist, enter DNE.) relative maxima $(x, y) = ( ) relative minima $(x, y) = ( ) horizontal points of inflection $(x, y) = ( ) (b) Use $y = f'(x)$ to find the critical values. (Enter your answers as a comma-separated list.) $x = $ (c) Find the critical points. $(x, y) = ( )$

          Consider the following.
$y = x^3 - 9x^2 + 27x - 18$
y
20
18
16
14
12
10
8
6
4
2
x
-2 -1 1 2 3 4 5 6
(a) Estimate the coordinates of the relative maxima, relative minima, or horizontal points of inflection by observing the graph. (If an
answer does not exist, enter DNE.)
relative maxima
$(x, y) = (		)
relative minima
$(x, y) = (		)
horizontal points of inflection
$(x, y) = (		)
(b) Use $y = f'(x)$ to find the critical values. (Enter your answers as a comma-separated list.)
$x = 		$
(c) Find the critical points.
$(x, y) = (		)$
        
Show more…
Consider the following.
y = x^3 - 9x^2 + 27x - 18
y
20
18
16
14
12
10
8
6
4
2
x
-2 -1 1 2 3 4 5 6
(a) Estimate the coordinates of the relative maxima, relative minima, or horizontal points of inflection by observing the graph. (If an
answer does not exist, enter DNE.)
relative maxima
(x, y) = (		)
relative minima(x, y) = (		)
horizontal points of inflection
(x, y) = (		)
(b) Usey = f'(x)to find the critical values. (Enter your answers as a comma-separated list.)x = 		(c) Find the critical points.(x, y) = (		)

Added by Manuel P.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Consider the following equation: y - x - 927x = 18. Joe: 18, 16, 14, 12, 10, 8 4 5 ? Estimate the coordinates of the relative maxima, relative minima, or horizontal points of infection by observing the graph. If an answer does not exist, enter DNE. Relative maxima: xy Relative minima: (x1) Horizontal points of inflection: (x1) Use y = rw to find the critical values. Enter your answers as a comma-separated list. Find the critical points: x1
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Transcript

-
00:01 Ok, so before we go on with the solution of this exercise, let me make a remark.
00:07 Well, the remark is the following.
00:09 If f of x is a constant function, equal to c, this guy here is a constant, then f ' of x, the derivative, is identically zero.
00:26 Perfect.
00:27 After this remark, the solution to our exercise is easy.
00:31 Indeed, in our exercise we have the function y equal to f of x equal to 11.
00:40 Perfect.
00:42 Now, we can observe that the derivative of f of x, thanks to the remark above, is zero...
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