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Popular >

extreme f(x)=(x-1)^5

Solution

extreme points

f (x) = (x - 1)^{5}

Solution

Saddle (1, 0)

Solution steps

f^{'} (x) = 5 (x - 1)^{4}

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

(x - 1)^{5} : 0

Saddle (1, 0)

Popular Examples

extreme f(x,y)=3xy-2x^3y^3 extreme points

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

extreme f(x)=x^2=-4ay extreme points

f (x) = x^{2} = - 4 a y

extreme-x^2-4y^2+8x-8y-16 extreme points

- x^{2} - 4 y^{2} + 8 x - 8 y - 16

extreme f(x)=(x-1)^2+y^2=25 extreme points

f (x) = (x - 1)^{2} + y^{2} = 25

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-1)^5 ?
The extreme f(x)=(x-1)^5 is Saddle(1,0)