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Popular >

extreme f(x)=(x-1)^3

Solution

extreme points

f (x) = (x - 1)^{3}

Solution

Saddle (1, 0)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

(x - 1)^{3} : 0

Saddle (1, 0)

Popular Examples

monotone f(x)=(x-4)/(3x-x^2)monotone intervals

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

y = 6

range of f(x)=-2x+6 range

f (x) = - 2 x + 6

inflection f(x)=4x^3 inflection points

f (x) = 4 x^{3}

perpendicular y=-2/3 x+32 perpendicular

y = - \frac{2}{3} x + 32

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-1)^3 ?
The extreme f(x)=(x-1)^3 is Saddle(1,0)