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Popular Functions >

extreme sqrt(x)-x

Solution

extreme

Solution

Minimum (0, 0), Maximum (\frac{1}{4}, \frac{1}{4})

Solution steps

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

Find intervals:

Increasing

: 0 < x < \frac{1}{4},

Decreasing

: \frac{1}{4} < x < \infty

Plug

x = 0

into

x - x : 0

Minimum (0, 0)

Plug

x = \frac{1}{4}

into

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

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

Minimum (0, 0), Maximum (\frac{1}{4}, \frac{1}{4})

Graph

Popular Examples

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extreme x^4-128x^2+9

extreme h(x)=x^3+12x

extreme f(x)=ln(x^2+3x+9),-2<= x<= 2

Frequently Asked Questions (FAQ)

What is the extreme sqrt(x)-x ?
The extreme sqrt(x)-x is Minimum(0,0),Maximum(1/4 , 1/4)