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Popular >

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

Solution

extreme points

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

Solution

Maximum (4, \frac{1}{8})

Solution steps

f^{'} (x) = \frac{- x + 4}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

\frac{x - 2}{x ^{2}} : \frac{1}{8}

Maximum (4, \frac{1}{8})

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

extreme f(x)=-x^3-7x^2-16x-42 extreme points

f (x) = - x^{3} - 7 x^{2} - 16 x - 42

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-2)/(x^2) ?
The extreme f(x)=(x-2)/(x^2) is Maximum(4, 1/8)