What is the extreme 11x^2+2*(-25)x(1-x)+24(1-x)^2 ?

The extreme 11x^2+2*(-25)x(1-x)+24(1-x)^2 is Minimum(49/85 ,-361/85)

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extreme 11x^2+2*(-25)x(1-x)+24(1-x)^2

extreme

Minimum (\frac{49}{85}, - \frac{361}{85})

Solution steps

f^{'} (x) = 170 x - 98

Find intervals:

Decreasing

: - \infty < x < \frac{49}{85},

Increasing

: \frac{49}{85} < x < \infty

Plug

x = \frac{49}{85}

into

11 x^{2} + 2 \cdot (- 25) x (1 - x) + 24 (1 - x)^{2} : - \frac{361}{85}

Minimum (\frac{49}{85}, - \frac{361}{85})

What is the extreme 11x^2+2*(-25)x(1-x)+24(1-x)^2 ?
The extreme 11x^2+2*(-25)x(1-x)+24(1-x)^2 is Minimum(49/85 ,-361/85)