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Popular >

extreme 12xe^{-x}

Solution

extreme points

12 x e^{- x}

Solution

Maximum (1, \frac{12}{e})

Solution steps

Find the critical points:

x = 1

Domain of

12 x e^{- x} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

12 x e^{- x} \Rightarrow y = \frac{12}{e}

Maximum (1, \frac{12}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 12xe^{-x} ?
The extreme 12xe^{-x} is Maximum(1,(12)/e)