   Chapter 4.1, Problem 35E Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Solutions

Chapter
Section Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

Finding Extrema on a Closed Interval InExercises 25-46. find the absolute extrema of the function on the closed interval. y = 3 − | t − 3 | , [ − 1 , 5 ]

To determine

To calculate: The absolute extrema of y=3|t3| on [1,5].

Explanation

Given:

The function,

y=3|t3|,[1,5]

Calculation:

Consider the function,

y=3|t3|

Differentiate the function.

That is.,

y'=|t3|t3

Set the function equal to zero in order to find critical numbers.

That is.,

|t3|t3=0t=3

Evaluate function at critical numbers.

That is.,

y=3|33|=3

Now,

Left end point is 1

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