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Popular >

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

Solution

extreme points

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

Solution

Saddle (2, 0)

Solution steps

f^{'} (x) = - 3 x^{2} + 12 x - 12

Find intervals:

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

- (x - 2)^{3} : 0

Saddle (2, 0)

Graph

Popular Examples

extreme f(x)=4x^3-6x^2-72x+30 extreme points

f (x) = 4 x^{3} - 6 x^{2} - 72 x + 30

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

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

extreme x/(\sqrt[3]{x^2-1)}extreme points

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

extreme x+y extreme points

x + y

critical D/(Dx)critical points

\frac{D}{D x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-(x-2)^3 ?
The extreme f(x)=-(x-2)^3 is Saddle(2,0)