Let f (x) = ( x ) ( x ) ( x ) for all real x, where ( x ), ( x ) and ( x ) are…

Let f (x) = \(\alpha(\mathrm{x}) \beta(\mathrm{x}) \gamma(\mathrm{x})\) for all real x, where \(\alpha(\mathrm{x}), \beta(\mathrm{x})\) and \(\gamma(\mathrm{x})\) are differentiable functions of x. If f ‘(2) = 18 f (2), \(\alpha^{\prime}(2)=3 \alpha(2)\), \(\beta^{\prime}(2)=-4 \beta(2)\) and \(\gamma^{\prime}(2)=\mathrm{k} \gamma(2)\), then the value of k is