Question
Asked Nov 15, 2019
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Determine where the absolute extrema of f(x) =--5x + 14x on the interval 1, 3] occur.
1. The absolute maximum occurs at X =
2. The absolute minimum occurs at X =
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Determine where the absolute extrema of f(x) =--5x + 14x on the interval 1, 3] occur. 1. The absolute maximum occurs at X = 2. The absolute minimum occurs at X =

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Expert Answer

Step 1

Given function is

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f(x) -5x14x

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Step 2

Firstly, we find stationary points of f(x) by solving f'(x)=0

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-10x +14 = 0 -10x 14 0 7 x= 5

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Step 3

Now, we find f(1), f(7/5...

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f(x)-5x14x f(1)5(1)+14()9 7 14 5 49 -5 5 f(3) -5(3)+14(3)=-3

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Tagged in
MathCalculus

Derivative