Find the derivative with and without using the chain rule. f(x) = (x^2 + 1)^3

Find the derivative with and without using the chain rule. f(x) = (x^2 + 1)^3

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\[f(x)=(x^2+1)^3=(x^2+1)(x^2+1)(x^2+1)\]
\[f'(x)=6x(x^2+1)^2\]

used only product rule

is that using the chain rule?

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