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Popular >

extreme f(x)=-5-x-x^2

Solution

extreme points

f (x) = - 5 - x - x^{2}

Solution

Maximum (- \frac{1}{2}, - \frac{19}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{1}{2}

into

- 5 - x - x^{2} : - \frac{19}{4}

Maximum (- \frac{1}{2}, - \frac{19}{4})

Popular Examples

extreme f(x,y)=5x^2+5y^2-5xy-10x-5y+18 extreme points

f (x, y) = 5 x^{2} + 5 y^{2} - 5 x y - 10 x - 5 y + 18

extreme f(x)=355x^2-1420x^3 extreme points

f (x) = 355 x^{2} - 1420 x^{3}

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

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

extreme f(x)=5x^4-x^5+5 extreme points

f (x) = 5 x^{4} - x^{5} + 5

extreme f(x)=2x+4sin(x)extreme points

f (x) = 2 x + 4 sin (x)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5-x-x^2 ?
The extreme f(x)=-5-x-x^2 is Maximum(-1/2 ,-19/4)