Find the absolute maximum and absolute minimum values of f

katelineliseua

katelineliseua

Answered question

2021-12-03

Find the absolute maximum and absolute minimum values of f on the given interval.
f(t)=t16t2,[1,4]
absolute minimum value
absolute maximum value

Answer & Explanation

Vincent Diaz

Vincent Diaz

Beginner2021-12-04Added 19 answers

Step 1
To find absolute maximum and minimum of
f(t)=t16t2,[1,4].
Step 2
f(t)=t(16t2)
f(t)=t(t16t2)+16t2
f'(t)=0
t=±8
f(1)=15
f(4)=0
f(8)=8
f(8)=8
Maximum value of f attains at x=8
Minimum value of f attains at x=8.

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