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Popular >

extreme f(x)=-x^2-x+1

Solution

extreme points

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

Solution

Maximum (- \frac{1}{2}, \frac{5}{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 + 1 : \frac{5}{4}

Maximum (- \frac{1}{2}, \frac{5}{4})

Popular Examples

extreme f(x,y)=5x^2+3xy+10y^2+4xy^2+6x^2y extreme points

f (x, y) = 5 x^{2} + 3 x y + 10 y^{2} + 4 x y^{2} + 6 x^{2} y

extreme f(x)=8(xy)-2x^4-2y^4 extreme points

f (x) = 8 (x y) - 2 x^{4} - 2 y^{4}

extreme f(x)=3x^3+3x^2-10x-2 extreme points

f (x) = 3 x^{3} + 3 x^{2} - 10 x - 2

extreme f(x)=0.0001x^2+3.2x-90 extreme points

f (x) = 0.0001 x^{2} + 3.2 x - 90

extreme f(x,y)=θ extreme points

f (x, y) = θ

Frequently Asked Questions (FAQ)

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