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\begin{gathered} f({x^2}) = f(x) + {x^2} \hfill \\ f'({x^2})(2x) = f'(x) + 2x \hfill \\ f''({x^2}){(2x)^2} + 2f'({x^2}) = f''(x) + 2 \hfill \\ \end{gathered} You show us the rest.
Suppose f(x) is a twice...