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The maximum value of the expression $$2 + 8x - x^2$$ is
After differentiating and equating to 0,
8 - 2x = 0
$$\Rightarrow$$ 2x = 8
$$\Rightarrow$$ x = 4
$$\therefore\ $$The maximum value of expression occurs at x = 4.
When x = 4,
$$2+8x-x^2=2+8\left(4\right)-4^2=2+32-16=18$$
Hence, the correct answer is Option C
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