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Popular >

extreme (e^{x-3})/(x-2)

Solution

extreme points

\frac{e ^{x - 3}}{x - 2}

Solution

Minimum (3, 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = 3

into

\frac{e ^{x - 3}}{x - 2} : 1

Minimum (3, 1)

Popular Examples

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inverse of-4+log_{2}(5-2x)inverse

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parity f(x)=(3-x)/x parity

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f (x) = \frac{x ^{2}}{x ^{2} + 4}

Frequently Asked Questions (FAQ)

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