What is the extreme f(x)=0.4x^2-192x+33821 ?

The extreme f(x)=0.4x^2-192x+33821 is Minimum(240,10781)

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extreme f(x)=0.4x^2-192x+33821

extreme points

f (x) = 0.4 x^{2} - 192 x + 33821

Minimum (240, 10781)

Solution steps

f^{'} (x) = 0.8 x - 192

Find intervals:

Decreasing

: - \infty < x < 240,

Increasing

: 240 < x < \infty

Plug

x = 240

into

0.4 x^{2} - 192 x + 33821 : 10781

Minimum (240, 10781)

y = 9 x^{4} - 4 x^{3}, (- 3, 3)

f (x) = \frac{x ^{2}}{x ^{2} - 108}

y = 2 x^{2} - 64 x

f (x) = \frac{1}{4} x^{4} - x^{3} - 2 x^{2}

f (x) = 3 x - 2 y

What is the extreme f(x)=0.4x^2-192x+33821 ?
The extreme f(x)=0.4x^2-192x+33821 is Minimum(240,10781)