What is the extreme 2x^2-30x^2+54x+2 ?

The extreme 2x^2-30x^2+54x+2 is Maximum(27/28 , 785/28)

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extreme 2x^2-30x^2+54x+2

extreme points

2 x^{2} - 30 x^{2} + 54 x + 2

Maximum (\frac{27}{28}, \frac{785}{28})

Solution steps

f^{'} (x) = - 56 x + 54

Find intervals:

Increasing

: - \infty < x < \frac{27}{28},

Decreasing

: \frac{27}{28} < x < \infty

Plug

x = \frac{27}{28}

into

2 x^{2} - 30 x^{2} + 54 x + 2 : \frac{785}{28}

Maximum (\frac{27}{28}, \frac{785}{28})

y = (x - 6) ln (x - 6)

f (x, y) = (2 y^{2} + x^{2}) e^{- (x^{2} + y^{2} - 3)}

p (x) = 12 x^{4} - 62 x^{3} + a x^{2} - 98 x + 30

y = 3 z^{2} - 3 x^{2}

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

What is the extreme 2x^2-30x^2+54x+2 ?
The extreme 2x^2-30x^2+54x+2 is Maximum(27/28 , 785/28)