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Popular >

extreme f(x)=(x-1)^3+2

Solution

extreme points

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

Solution

Saddle (1, 2)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x + 3

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

(x - 1)^{3} + 2 : 2

Saddle (1, 2)

Popular Examples

extreme f(y,z)=ln(1+y^2+z^2)extreme points

f (y, z) = ln (1 + y^{2} + z^{2})

extreme 3x^3-9x extreme points

3 x^{3} - 9 x

extreme f(x)=2x^3e^{-x},-1<= x<= 6 extreme points

f (x) = 2 x^{3} e^{- x}, - 1 \leq x \leq 6

extreme f(x)=(4x-3)^2 extreme points

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

extreme y=x^2+z+z^2 extreme points

y = x^{2} + z + z^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-1)^3+2 ?
The extreme f(x)=(x-1)^3+2 is Saddle(1,2)