What is the extreme-1683x^2+83000x+10000 ?

The extreme-1683x^2+83000x+10000 is Maximum(41500/1683 ,(-41500^2+3444500000)/(1683)+10000)

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extreme-1683x^2+83000x+10000

extreme points

- 1683 x^{2} + 83000 x + 10000

Maximum (\frac{41500}{1683}, \frac{- 4150 0 ^{2} + 3444500000}{1683} + 10000)

Solution steps

f^{'} (x) = - 3366 x + 83000

Find intervals:

Increasing

: - \infty < x < \frac{41500}{1683},

Decreasing

: \frac{41500}{1683} < x < \infty

Plug

x = \frac{41500}{1683}

into

- 1683 x^{2} + 83000 x + 10000 : \frac{- 4150 0 ^{2} + 3444500000}{1683} + 10000

Maximum (\frac{41500}{1683}, \frac{- 4150 0 ^{2} + 3444500000}{1683} + 10000)

f (x, y) = x^{2} + y^{2} - 2 y

f (x, y) = x^{2} y^{3} + x^{4} y

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

f (x, y) = x^{2} + y^{2} + x y

f (x) = x^{3} + 9

What is the extreme-1683x^2+83000x+10000 ?
The extreme-1683x^2+83000x+10000 is Maximum(41500/1683 ,(-41500^2+3444500000)/(1683)+10000)