Find the absolute extrema of the function on the closed

Douglas Kraatz

Douglas Kraatz

Answered question

2021-11-14

Find the absolute extrema of the function on the closed interval. Y=3x232x, [1,1] Minimum (x,y) = ? Maximum (x,y) = ?

Answer & Explanation

Blanche McClain

Blanche McClain

Beginner2021-11-15Added 15 answers

y=3x232x x[1,1]
=x22x
dydx=2x2
For x[1,0]dydx0
x[0,1]dydx0
y is decreasing in [-1,1]
ymax=y(1)=(1)22(1)
=1+2=3
y(1)=ymin=12(1)
ymax=3, ymin=1

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