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Popular >

extreme (x-5)/(x^2-18x+81)

Solution

extreme points

\frac{x - 5}{x ^{2} - 18 x + 81}

Solution

Minimum (1, - \frac{1}{16})

Solution steps

f^{'} (x) = - \frac{x - 1}{( x - 9 ) ^{3}}

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < 9,

Decreasing

: 9 < x < \infty

Plug

x = 1

into

\frac{x - 5}{x ^{2} - 18 x + 81} : - \frac{1}{16}

Minimum (1, - \frac{1}{16})

Popular Examples

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f (x, y) = x^{3} y^{2} + 2 x y - 5

extreme x^6-6/5 x^5 extreme points

x^{6} - \frac{6}{5} x^{5}

extreme P(x,y)=0.3+x^2+0.2y^2+0.1xy-14x-10y+2000 extreme points

P (x, y) = 0.3 + x^{2} + 0.2 y^{2} + 0.1 x y - 14 x - 10 y + 2000

extreme f(x,y)= 1/2 x^2+1/2 y^2-x^2y+5 extreme points

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extreme y=(x^4}{12}-\frac{x^3)/2+x^2+10 extreme points

y = \frac{x ^{4}}{12} - \frac{x ^{3}}{2} + x^{2} + 10

Frequently Asked Questions (FAQ)

What is the extreme (x-5)/(x^2-18x+81) ?
The extreme (x-5)/(x^2-18x+81) is Minimum(1,-1/16)