What is the extreme f(x)=-4x^2+150x+250 ?

The extreme f(x)=-4x^2+150x+250 is Maximum(75/4 , 6625/4)

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extreme f(x)=-4x^2+150x+250

extreme points

f (x) = - 4 x^{2} + 150 x + 250

Maximum (\frac{75}{4}, \frac{6625}{4})

Solution steps

f^{'} (x) = - 8 x + 150

Find intervals:

Increasing

: - \infty < x < \frac{75}{4},

Decreasing

: \frac{75}{4} < x < \infty

Plug

x = \frac{75}{4}

into

- 4 x^{2} + 150 x + 250 : \frac{6625}{4}

Maximum (\frac{75}{4}, \frac{6625}{4})

What is the extreme f(x)=-4x^2+150x+250 ?
The extreme f(x)=-4x^2+150x+250 is Maximum(75/4 , 6625/4)