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Popular >

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

Solution

extreme points

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

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

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

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

Popular Examples

extreme f(x)=32y^2+x^2-x^2y extreme points

f (x) = 32 y^{2} + x^{2} - x^{2} y

extreme f(x,y)=3x^2+2xy-y^2 extreme points

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

extreme 2x^2+3y^2-4xy+4x-2y+3 extreme points

2 x^{2} + 3 y^{2} - 4 x y + 4 x - 2 y + 3

extreme f(x)=sqrt(x^2+64)extreme points

f (x) = x^{2} + 64

extreme y=150x-50x^2+4x^3 extreme points

y = 150 x - 50 x^{2} + 4 x^{3}

Frequently Asked Questions (FAQ)

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