What is the extreme 121000x-1000/28 x^2 ?

The extreme 121000x-1000/28 x^2 is Maximum(1694,102487000)

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extreme 121000x-1000/28 x^2

extreme points

121000 x - \frac{1000}{28} x^{2}

Maximum (1694, 102487000)

Solution steps

f^{'} (x) = 121000 - \frac{500 x}{7}

Find intervals:

Increasing

: - \infty < x < 1694,

Decreasing

: 1694 < x < \infty

Plug

x = 1694

into

121000 x - \frac{1000}{28} x^{2} : 102487000

Maximum (1694, 102487000)

f (x) = - \frac{8}{3} x^{3} + 4 x^{2} + 48 x + 9

f (x) = 1400 x - 2 x^{2}

100 x + y

\frac{1}{x ^{2} - 3 \cdot x + 3}

\frac{d}{d b} ((A + b) c)

What is the extreme 121000x-1000/28 x^2 ?
The extreme 121000x-1000/28 x^2 is Maximum(1694,102487000)