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Popular >

extreme x^2-4x-1

Solution

extreme points

x^{2} - 4 x - 1

Solution

Minimum (2, - 5)

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 - 1 : - 5

Minimum (2, - 5)

Popular Examples

extreme (x^4)/4-(x^3)/3-2x^2+4x+3 extreme points

\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - 2 x^{2} + 4 x + 3

extreme f(x)=9x-3x^3 extreme points

f (x) = 9 x - 3 x^{3}

extreme f(x,y)=4xy-x^2-y^2-14x+4y+10 extreme points

f (x, y) = 4 x y - x^{2} - y^{2} - 14 x + 4 y + 10

extreme f(x)=x^3+14x-3 extreme points

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

extreme y=(sin(x))/x {-2,pi<= x<= 2pi}extreme points

y = \frac{sin ( x )}{x} {- 2, π \leq x \leq 2 π}

Frequently Asked Questions (FAQ)

What is the extreme x^2-4x-1 ?
The extreme x^2-4x-1 is Minimum(2,-5)