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Popular >

extreme y=-x^2-x-5

Solution

extreme points

y = - x^{2} - x - 5

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

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

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

Popular Examples

extreme f(x)=3x^4-8x^3+6x^2-9 extreme points

f (x) = 3 x^{4} - 8 x^{3} + 6 x^{2} - 9

extreme f(x,y)=7x^2y+9xy^2 extreme points

f (x, y) = 7 x^{2} y + 9 x y^{2}

extreme-4x^3+200x^2-3000x+17000 extreme points

- 4 x^{3} + 200 x^{2} - 3000 x + 17000

extreme f(x)=-x+10 extreme points

f (x) = - x + 10

extreme f(x)=-5t^2+61t+18 extreme points

f (x) = - 5 t^{2} + 61 t + 18

Frequently Asked Questions (FAQ)

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