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Popular >

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

Solution

extreme points

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

Solution

Minimum (1, - 4)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

x^{2} - 2 x - 3 : - 4

Minimum (1, - 4)

Popular Examples

extreme f(x,y)=x^4+y^4-xy extreme points

f (x, y) = x^{4} + y^{4} - x y

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

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

extreme f(x)=-3x^4+8x^3-6x^2-2 extreme points

f (x) = - 3 x^{4} + 8 x^{3} - 6 x^{2} - 2

extreme f(x)=14x^2-2x^3+2y^2+4xy extreme points

f (x) = 14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

extreme (4x)/(x^2-25)extreme points

\frac{4 x}{x ^{2} - 25}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-2x-3 ?
The extreme f(x)=x^2-2x-3 is Minimum(1,-4)