Find the absolute maximum value and the absolute minimum value,

Paganellash

Paganellash

Answered question

2021-12-04

Find the absolute maximum value and the absolute minimum value, if any, of the given function.
f(x)=6x26,[8,3]

Answer & Explanation

Huses1969

Huses1969

Beginner2021-12-05Added 18 answers

Step 1
We have
f(x)=6x26,[8,3]
Step 2
Now
Differentiate w.r.t ''x''
f'(x)=12x
put f'(x)=0
12x=0
x=0
x=0 is a critical point but does not lie in our Domain
Now put x=-8 in
f(x)=6x26
f(8)=6(8)26
f(-8)=378
Absolute maxima at x=-8
put x=-3
f(x)=6x26
f(3)=6(3)26
f(-3)=48
Absolute minimum at x=-3

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