Answer
$f'(x) = 2x g'(x^{2})$
Work Step by Step
$f(x) = g(x^{2})$
Use chain rule here
$f'(x) = \frac{d}{dx} g(x^{2})$
$f'(x) = g'(x^{2}) \frac{d}{dx} (x^{2})$
$f'(x) = 2x g'(x^{2})$
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