For Exercises 33-46, find any relative extrema of eachfunction. List each extremum along with the x-value at whichit occurs. Identify intervals over which the function is increas -ing and over which it is decreasing. Then sketch a graph of thefunction.33. f(x) = x +6x- 3 34. f(x) = 5 - x- x35. F(x) = 0.5x2 2x- 1136. g(x) = 1 +6x + 3x4-37. g(x) = x3 + }x22x+ 5

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Asked Oct 20, 2019
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Questions: 33, 35, 37

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For Exercises 33-46, find any relative extrema of each
function. List each extremum along with the x-value at which
it occurs. Identify intervals over which the function is increas -
ing and over which it is decreasing. Then sketch a graph of the
function.
33. f(x) = x +6x- 3 34. f(x) = 5 - x- x
35. F(x) = 0.5x2 2x- 11
36. g(x) = 1 +6x + 3x4
-
37. g(x) = x3 + }x2
2x+ 5
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For Exercises 33-46, find any relative extrema of each function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increas - ing and over which it is decreasing. Then sketch a graph of the function. 33. f(x) = x +6x- 3 34. f(x) = 5 - x- x 35. F(x) = 0.5x2 2x- 11 36. g(x) = 1 +6x + 3x4 - 37. g(x) = x3 + }x2 2x+ 5

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Step 2

We need to find the relative maximum and minimum values of f(x), where f(x) is given by,

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f(x) x26x- 3

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Step 3

Let’s find out the critical points of f(x). For that we n...

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(x? + 6х — 3) %3 0 dx f'(x) = dC - пх*-1 and dx 2х + 6 — 0 dx x = -3

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