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Popular >

extreme f(x)=(e^x)/(x-1)

Solution

extreme points

f (x) = \frac{e ^{x}}{x - 1}

Solution

Minimum (2, e^{2})

Solution steps

f^{'} (x) = \frac{e ^{x} x - 2 e ^{x}}{( x - 1 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < 1,

Decreasing

: 1 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

\frac{e ^{x}}{x - 1} : e^{2}

Minimum (2, e^{2})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(e^x)/(x-1) ?
The extreme f(x)=(e^x)/(x-1) is Minimum(2,e^2)