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Popular >

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

Solution

extreme points

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

Solution

Minimum (2, - 7)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

x^{2} - 4 x - 3 : - 7

Minimum (2, - 7)

Popular Examples

extreme f(x,y)=x^2+y^2+5 extreme points

f (x, y) = x^{2} + y^{2} + 5

extreme y=x^3-6x^2+9 extreme points

y = x^{3} - 6 x^{2} + 9

extreme f(x,y)=32x^4+y^2-16xy extreme points

f (x, y) = 32 x^{4} + y^{2} - 16 x y

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

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

extreme f(x)=2x^3-3x^2y-12x^2-3y^2 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2-4x-3 ?
The extreme f(x)=x^2-4x-3 is Minimum(2,-7)