What is the extreme f(x)=-1/50 x^2+1.85x-8.5 ?

The extreme f(x)=-1/50 x^2+1.85x-8.5 is Maximum(185/4 ,34.28125)

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extreme f(x)=-1/50 x^2+1.85x-8.5

extreme

Maximum (\frac{185}{4}, 34.28125)

Solution steps

f^{'} (x) = - 0.04 x + 1.85

Find intervals:

Increasing

: - \infty < x < \frac{185}{4},

Decreasing

: \frac{185}{4} < x < \infty

Plug

x = \frac{185}{4}

into

- \frac{1}{50} x^{2} + 1.85 x - 8.5 : 34.28125

Maximum (\frac{185}{4}, 34.28125)

What is the extreme f(x)=-1/50 x^2+1.85x-8.5 ?
The extreme f(x)=-1/50 x^2+1.85x-8.5 is Maximum(185/4 ,34.28125)