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Popular >

extreme 1-x-x^2

Solution

extreme points

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

inverse of f(x)=((5x-2))/(-5x+1)inverse

f (x) = \frac{( 5 x - 2 )}{- 5 x + 1}

distance (3,-2),(13,10)distance

(3, - 2), (13, 10)

perpendicular y=3x-2,(-1,3)perpendicular

y = 3 x - 2, (- 1, 3)

midpoint (-8,2),(-8+4sqrt(3),6)midpoint

(- 8, 2), (- 8 + 43, 6)

range of (x(2x^2-3x+1))/(x^3+1)range

\frac{x ( 2 x ^{2} - 3 x + 1 )}{x ^{3} + 1}

Frequently Asked Questions (FAQ)

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