Question
Asked Nov 4, 2019

Find the absolute maximum and absolute minimum values of  (f) on the given intervals

f(t) = t - /t, [-1, 4]
3
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f(t) = t - /t, [-1, 4] 3

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Step 1

Given function and interval is

f()t-1,4]
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f()t-1,4]

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Step 2

First find critical points by equating derivative of the function to zero

t(-23)
f(t)=1-
3
f'(t)0
-2/3)
1- 0
3
1
1
t=
3/3 3/3
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t(-23) f(t)=1- 3 f'(t)0 -2/3) 1- 0 3 1 1 t= 3/3 3/3

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Step 3

Plug extreme points in the ...

3
1
1
1
33
33
3/3
1
1
1
33
27(3/2)
3/3
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3 1 1 1 33 33 3/3 1 1 1 33 27(3/2) 3/3

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