Differentiate $(x^2 - 5x + 8) (x^3 + 7x + 9 )$ in three ways mentioned below: $$\begin{array}{1 1} (i)\;by\;using\;product\;rule & \;\\(ii)\;by\;expanding\;the\;product\;to\;obtain\;a\;single\;polynomial. & \;\\ (iii)\;by\;logarithmic\;differentiation. & \;\end{array}$$ Do they all give the same answer?

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