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Popular >

extreme f(x)=(3-x)e^{x-3}

Solution

extreme points

f (x) = (3 - x) e^{x - 3}

Solution

Maximum (2, \frac{1}{e})

Solution steps

f^{'} (x) = e^{- 3 + x} (- x + 2)

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

(3 - x) e^{x - 3} : \frac{1}{e}

Maximum (2, \frac{1}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(3-x)e^{x-3} ?
The extreme f(x)=(3-x)e^{x-3} is Maximum(2, 1/e)