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Popular >

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

Solution

extreme points

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

Solution

Maximum (- 1, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < \infty

Plug

x = - 1

into

- x^{2} - 2 x + 1 : 2

Maximum (- 1, 2)

Graph

Popular Examples

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3 x^{2} + y^{2} - x y - 11 x

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extreme f(x)=-x^3-6x^2-9x+3 extreme points

f (x) = - x^{3} - 6 x^{2} - 9 x + 3

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

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

extreme f(x)=sqrt(x^2+9)extreme points

f (x) = x^{2} + 9

Frequently Asked Questions (FAQ)

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