Find the absolute minimum and absolute maximum values of f

Pamela Meyer

Pamela Meyer

Answered question

2021-12-08

Find the absolute minimum and absolute maximum values of f on the given interval.
f(t)=t
25t2,[1,5]

Answer & Explanation

accimaroyalde

accimaroyalde

Beginner2021-12-09Added 29 answers

Step 1
Given:
f(t)=25t2 on [-1,5]
To find maximum and minimum value of f on the given interval.
Step 2
f(t)=25t2
f'(t) = 0-2t
f''(t)=-2<0
Local maximum
f(1)=25(1)2=24 (maximum)
f(5)=25(5)2=0 (minimum)

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