Problem

(a) If $f (x) = x^{4} + 5 x$ , find $f^{'} (x)$
$f^{'} (x) =$

Answer

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Answer

$f^{'} (x) = 4 x^{3} + 5$

Steps

Step 1 ：Given the function $f (x) = x^{4} + 5 x$ , we want to find its derivative $f^{'} (x)$ .

Step 2 ：Using the power rule for differentiation, we have $f^{'} (x) = 4 x^{3} + 5$ .

Step 3 ： $f^{'} (x) = 4 x^{3} + 5$

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