The Chain Rule

AP Calculus AB· difficulty 2/5

f(x) = (4x + 1)^{1/2}

A
$\tfrac{2}{3}$
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B
$\tfrac{1}{3}$
C
$\tfrac{1}{6}$
D
$\tfrac{4}{6}$

Explanation

f'(x) = \tfrac{1}{2}(4x+1)^{-1/2}\cdot 4 = 2/\sqrt{4x+1}

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