Question: Given a function ( f(X)) defined on ((-infty,+infty)), satisfying the equation: $$ 2f(1+x)+ f(1-x)= Power[e,x], $$ find (f'(x))

Given a function \( f(X)\) defined on \((-\infty,+\infty)\), satisfying the equation: $$ 2f(1+x)+ f(1-x)= Power[e,x], $$ find \(f'(x)\)

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