If g(x) = sqrt[3]{x^2+1}, find g'(x) Select one: a. frac{2x}{3sqrt[3]{(x^2+1)^2}}
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The function \(g(x)\) is a composition of two functions: \(f(u) = \sqrt[3]{u}\) and \(u(x) = x^{2}+1\). The derivative of \(f(u)\) with respect to \(u\) is \(f'(u) = \frac{1}{3u^{2/3}}\), and the derivative of \(u(x)\) with respect to \(x\) is \(u'(x) = 2x\). Show more…
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