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Popular >

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

Solution

extreme points

f (x) = x (1 - x)

Solution

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

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

x (1 - x) : \frac{1}{4}

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

Popular Examples

domain of f(x)=-xsqrt(x-7)domain

f (x) = - x x - 7

inverse of f(x)=(6x+3)/(x-8)inverse

f (x) = \frac{6 x + 3}{x - 8}

asymptotes of f(x)=(-2x^2+5x+3)/(x+1)asymptotes

f (x) = \frac{- 2 x ^{2} + 5 x + 3}{x + 1}

asymptotes of f(x)=log_{5}(x-1)+4 asymptotes

f (x) = lo g_{5} (x - 1) + 4

inverse of f(x)=5-2x^2 inverse

f (x) = 5 - 2 x^{2}

Frequently Asked Questions (FAQ)

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