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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = - 4 x + 2

Find intervals:

Increasing

: - \infty < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

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

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

Popular Examples

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\frac{3 + \frac{6}{s - 3}}{s - 2 + \frac{4}{s - 3}}

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(x - 4)^{2} + (y + 2)^{2} = 25

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x^{2} - 6 x + 13

inflection x^4-32x^2+1 inflection points

x^{4} - 32 x^{2} + 1

slope ofintercept 3x-4y=12 slope intercept

3 x - 4 y = 12

Frequently Asked Questions (FAQ)

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