What is the extreme f(x)=189x-(x^2)/(354) ?

The extreme f(x)=189x-(x^2)/(354) is Maximum(33453, 6322617/2)

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extreme f(x)=189x-(x^2)/(354)

extreme points

f (x) = 189 x - \frac{x ^{2}}{354}

Maximum (33453, \frac{6322617}{2})

Solution steps

f^{'} (x) = 189 - \frac{x}{177}

Find intervals:

Increasing

: - \infty < x < 33453,

Decreasing

: 33453 < x < \infty

Plug

x = 33453

into

189 x - \frac{x ^{2}}{354} : \frac{6322617}{2}

Maximum (33453, \frac{6322617}{2})

What is the extreme f(x)=189x-(x^2)/(354) ?
The extreme f(x)=189x-(x^2)/(354) is Maximum(33453, 6322617/2)