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Popular >

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

Solution

extreme points

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

Solution

Maximum (\frac{1}{2}, - \frac{7}{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

- 2 + x - x^{2} : - \frac{7}{4}

Maximum (\frac{1}{2}, - \frac{7}{4})

Popular Examples

extreme f(x,y)=x^2+y^2+4x-2y+6 extreme points

f (x, y) = x^{2} + y^{2} + 4 x - 2 y + 6

extreme f(x)=(4860)/x+18x+724924 extreme points

f (x) = \frac{4860}{x} + 18 x + 724924

extreme f(x)=3xsqrt(4-3x)extreme points

f (x) = 3 x 4 - 3 x

extreme sqrt(x^2+y^2+4x+20)extreme points

x^{2} + y^{2} + 4 x + 20

extreme (-x+5)/(x^2)extreme points

\frac{- x + 5}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2+x-x^2 ?
The extreme f(x)=-2+x-x^2 is Maximum(1/2 ,-7/4)