Answer
$f^{'}(1)$ appears to be close to $-1$
$f^{'}(1) = -1$
Work Step by Step
To solve for $f^{'}(1)$
Take derivative of $f(x) = 4-\frac{1}{2}x^{2}$
Using power rule $f^{'}(x) = -x$
Therefore $f^{'}(1) = -1$
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