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Popular >

extreme (2x^2-5x+5)/(x-2)

Solution

extreme points

\frac{2 x ^{2} - 5 x + 5}{x - 2}

Solution

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}), Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Solution steps

f^{'} (x) = \frac{2 x ^{2} - 8 x + 5}{( x - 2 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < \frac{4 - 6}{2},

Decreasing

: \frac{4 - 6}{2} < x < 2,

Decreasing

: 2 < x < \frac{4 + 6}{2},

Increasing

: \frac{4 + 6}{2} < x < \infty

Plug

x = \frac{4 - 6}{2}

into

\frac{2 x ^{2} - 5 x + 5}{x - 2} : - \frac{4 3 - 3 2}{2}

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2})

Plug

x = \frac{4 + 6}{2}

into

\frac{2 x ^{2} - 5 x + 5}{x - 2} : \frac{4 3 + 3 2}{2}

Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}), Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

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extreme f(x)=8x+7x^{-1}extreme points

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Frequently Asked Questions (FAQ)

What is the extreme (2x^2-5x+5)/(x-2) ?
The extreme (2x^2-5x+5)/(x-2) is