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Popular >

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

Solution

extreme points

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

Solution

Minimum (0, 0), Maximum (2, - 4)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Increasing

: 1 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

\frac{x ^{2}}{1 - x} : 0

Minimum (0, 0)

Plug

x = 2

into

\frac{x ^{2}}{1 - x} : - 4

Maximum (2, - 4)

Minimum (0, 0), Maximum (2, - 4)

Graph

Popular Examples

extreme f(x)=2x^3-39x^2+240x-9 extreme points

f (x) = 2 x^{3} - 39 x^{2} + 240 x - 9

extreme f(x)=3x^2-5 extreme points

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

extreme f(x)=4x^3+54x^2+240x extreme points

f (x) = 4 x^{3} + 54 x^{2} + 240 x

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

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

extreme f(x)=6cos(x)extreme points

f (x) = 6 cos (x)

Frequently Asked Questions (FAQ)

What is the extreme (x^2)/((1-x)) ?
The extreme (x^2)/((1-x)) is Minimum(0,0),Maximum(2,-4)