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Popular >

extreme x^2+x+4

Solution

extreme points

x^{2} + x + 4

Solution

Minimum (- \frac{1}{2}, \frac{15}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

x^{2} + x + 4 : \frac{15}{4}

Minimum (- \frac{1}{2}, \frac{15}{4})

Popular Examples

extreme f(x)=30x^4-13x^3-54x^2-1 extreme points

f (x) = 30 x^{4} - 13 x^{3} - 54 x^{2} - 1

extreme f(x)=(e^{2x})/(x-3)extreme points

f (x) = \frac{e ^{2 x}}{x - 3}

extreme f(x)=8-x,-1<= x<= 3 extreme points

f (x) = 8 - x, - 1 \leq x \leq 3

extreme P(x,y)=x^2+5xy-4y^2 extreme points

P (x, y) = x^{2} + 5 x y - 4 y^{2}

extreme f(x)=2x^3-6x^2-18x+2 extreme points

f (x) = 2 x^{3} - 6 x^{2} - 18 x + 2

Frequently Asked Questions (FAQ)

What is the extreme x^2+x+4 ?
The extreme x^2+x+4 is Minimum(-1/2 , 15/4)