What is the extreme f(x)=2x(500/3-4/3 x) ?

The extreme f(x)=2x(500/3-4/3 x) is Maximum(125/2 , 31250/3)

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extreme f(x)=2x(500/3-4/3 x)

extreme points

f (x) = 2 x (\frac{500}{3} - \frac{4}{3} x)

Maximum (\frac{125}{2}, \frac{31250}{3})

Solution steps

f^{'} (x) = \frac{2 ( 500 - 8 x )}{3}

Find intervals:

Increasing

: - \infty < x < \frac{125}{2},

Decreasing

: \frac{125}{2} < x < \infty

Plug

x = \frac{125}{2}

into

2 x (\frac{500}{3} - \frac{4}{3} x) : \frac{31250}{3}

Maximum (\frac{125}{2}, \frac{31250}{3})

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

y = - 2 x + 2.5

y = x^{2} - 4

P (t) = \frac{t - 6}{4 t - 28}

f (x) = x^{2} + 6 x + 3

What is the extreme f(x)=2x(500/3-4/3 x) ?
The extreme f(x)=2x(500/3-4/3 x) is Maximum(125/2 , 31250/3)