For the function \( f \), given by \( f(x)=2 x^{3}-9 x^{2}+12 x+9 \), show that \( f^{\prime}(1)...

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For the function \( f \), given by \( f(x)=2 x^{3}-9 x^{2}+12 x+9 \), show that \( f^{\prime}(1)=f^{\prime}(2) \).
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