What is the extreme f(x)=9.71x^2+61.579x+943.59 ?

The extreme f(x)=9.71x^2+61.579x+943.59 is Minimum(-61579/19420 ,845.95938…)

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extreme f(x)=9.71x^2+61.579x+943.59

extreme points

f (x) = 9.71 x^{2} + 61.579 x + 943.59

Minimum (- \frac{61579}{19420}, 845.95938 \dots)

Solution steps

f^{'} (x) = 19.42 x + 61.579

Find intervals:

Decreasing

: - \infty < x < - \frac{61579}{19420},

Increasing

: - \frac{61579}{19420} < x < \infty

Plug

x = - \frac{61579}{19420}

into

9.71 x^{2} + 61.579 x + 943.59 : 845.95938 \dots

Minimum (- \frac{61579}{19420}, 845.95938 \dots)

What is the extreme f(x)=9.71x^2+61.579x+943.59 ?
The extreme f(x)=9.71x^2+61.579x+943.59 is Minimum(-61579/19420 ,845.95938…)