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Popular >

extreme f(x)=(x-3)/(x^2)

Solution

extreme points

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

Solution

Maximum (6, \frac{1}{12})

Solution steps

f^{'} (x) = \frac{- x + 6}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 6,

Decreasing

: 6 < x < \infty

Plug

x = 6

into

\frac{x - 3}{x ^{2}} : \frac{1}{12}

Maximum (6, \frac{1}{12})

Graph

Popular Examples

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f (x) = x^{2} - 10 x - 5

extreme x^5ln(x)extreme points

x^{5} ln (x)

extreme f(x)=14x^2+7xy-7/4 y^2-7x+4y extreme points

f (x) = 14 x^{2} + 7 x y - \frac{7}{4} y^{2} - 7 x + 4 y

extreme f(x)=7sqrt(x)extreme points

f (x) = 7 x

extreme-x^2 extreme points

- x^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-3)/(x^2) ?
The extreme f(x)=(x-3)/(x^2) is Maximum(6, 1/12)