Now, we can use the product rule to find the derivative: h'(t) = f'(t) * g(t) + f(t) * g'(t).
To find f'(t), we can use the power rule: f'(t) = \frac{2}{3}(t + 2)^{-1/3}.
To find g'(t), we can use the chain rule: g'(t) = 3(3t^2 + 2)^2 * (6t).
Now, we can plug
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