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Popular >

extreme f(x)=(2x-1)/(x^2)

Solution

extreme points

f (x) = \frac{2 x - 1}{x ^{2}}

Solution

Maximum (1, 1)

Solution steps

f^{'} (x) = \frac{2 ( - x + 1 )}{x ^{3}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

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

Maximum (1, 1)

Popular Examples

extreme f(x,y)=(2x-x^2)*(2y-y^2)extreme points

f (x, y) = (2 x - x^{2}) \cdot (2 y - y^{2})

extreme 4x-x^2 extreme points

4 x - x^{2}

extreme f(x)=-5x^3+15x+8 extreme points

f (x) = - 5 x^{3} + 15 x + 8

extreme f(x)=2x^2-10x+5 extreme points

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

extreme (x+5)/(x^2-x-30)extreme points

\frac{x + 5}{x ^{2} - x - 30}

Frequently Asked Questions (FAQ)

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