Carbon$-\backslash [14\backslash ]$ is an element which loses half of its mass every $\backslash [5730\backslash ]$ years. The following function gives the mass, in grams, of a sample of carbon$-\backslash [14\backslash ]$ after $\backslash [$t$\backslash ]$ years:

$\backslash [$M$($t$)=65\backslash$cdot e$^\{-0\mathrm{.}00012$t$\}\backslash ]$

What is the instantaneous rate of change of sample's mass after $\backslash [1\backslash ]$ year?