Find $f^{'} (3)$ if $f (x) = x^{3} + 5 x^{2} - 3 x + 5$

28

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54

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32

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None

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Solution

The correct option is D $54$
$f (x) = x^{3} + 5 x^{2} - 3 x + 5 f^{'} (x) = 3 x^{2} + 10 x - 3 f^{'} (x) = 3 (3)^{2} + 10 (3) - 3 = 54$

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