What is the extreme sqrt(x)(8/5 x^3-2x^2) ?

The extreme sqrt(x)(8/5 x^3-2x^2) is Maximum(0,0),Minimum(25/28 ,-(3125)/(2744sqrt(7)))

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extreme sqrt(x)(8/5 x^3-2x^2)

extreme points

x (\frac{8}{5} x^{3} - 2 x^{2})

Maximum (0, 0), Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

Solution steps

f^{'} (x) = \frac{x x ( 28 x - 25 )}{5}

Find intervals:

Decreasing

: 0 < x < \frac{25}{28},

Increasing

: \frac{25}{28} < x < \infty

Plug

x = 0

into

x (\frac{8}{5} x^{3} - 2 x^{2}) : 0

Maximum (0, 0)

Plug

x = \frac{25}{28}

into

x (\frac{8}{5} x^{3} - 2 x^{2}) : - \frac{3125}{2744 7}

Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

Maximum (0, 0), Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

f (x) = ln (\frac{4 - x}{2 + 2 x})

f (x) = x^{(2)} - 5 x + 4

f (y) = - 0.06 x^{2} - 0.02 y^{2} - 1.5 x y - 85 x + 69 y

f (x) = 3 x + 5

p (t) = 500 e^{k t}

What is the extreme sqrt(x)(8/5 x^3-2x^2) ?
The extreme sqrt(x)(8/5 x^3-2x^2) is Maximum(0,0),Minimum(25/28 ,-(3125)/(2744sqrt(7)))