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Popular >

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

Solution

extreme points

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

Solution

Maximum (3, \frac{1}{27})

Solution steps

f^{'} (x) = \frac{2 ( - x + 3 )}{x ^{4}}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

\frac{x - 2}{x ^{3}} : \frac{1}{27}

Maximum (3, \frac{1}{27})

Popular Examples

extreme f(x)=x^2-2x+1,0<= x<= 3 extreme points

f (x) = x^{2} - 2 x + 1, 0 \leq x \leq 3

extreme f(x,y)=2x^2-4x+y^2-4y+1 extreme points

f (x, y) = 2 x^{2} - 4 x + y^{2} - 4 y + 1

extreme 3x^2-24ln(x)extreme points

3 x^{2} - 24 ln (x)

extreme f(x)=(4x)/(x^2+1),-4<= x<= 0 extreme points

f (x) = \frac{4 x}{x ^{2} + 1}, - 4 \leq x \leq 0

extreme f(x)=ln(27+x^3)extreme points

f (x) = ln (27 + x^{3})

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-2)/(x^3) ?
The extreme f(x)=(x-2)/(x^3) is Maximum(3, 1/27)