What is the extreme 1448.2x^2-81667x+1000000 ?

The extreme 1448.2x^2-81667x+1000000 is Minimum(408335/14482 ,-151342.85475…)

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extreme 1448.2x^2-81667x+1000000

extreme points

1448.2 x^{2} - 81667 x + 1000000

Minimum (\frac{408335}{14482}, - 151342.85475 \dots)

Solution steps

f^{'} (x) = 2896.4 x - 81667

Find intervals:

Decreasing

: - \infty < x < \frac{408335}{14482},

Increasing

: \frac{408335}{14482} < x < \infty

Plug

x = \frac{408335}{14482}

into

1448.2 x^{2} - 81667 x + 1000000 : - 151342.85475 \dots

Minimum (\frac{408335}{14482}, - 151342.85475 \dots)

f (x, y) = (x - 8)^{2} + (y - 5)^{2} + 16

f (x) = x e^{3 x^{2}}

f (x, y) = 2 x^{2} + y^{4} - 16 x y

f (x, y) = (7 x + 9 y + 8) e^{(- (x^{2} + y^{2}))}

x^{3} - 3 x + 3 x y^{2}

What is the extreme 1448.2x^2-81667x+1000000 ?
The extreme 1448.2x^2-81667x+1000000 is Minimum(408335/14482 ,-151342.85475…)