Quite a long one

The five functions $f$ , $g$ , $h$ , $m$ & $q$ are defined as follows:

$f = (3x^2+e)e^{2x}$

$g=e^{e^{2x^2+1}}$

$h=\ln{(\ln{(x^3(x+1))})}$

$m=\log _{4}{x} +2\ln{x}$

$q=3e^x-4\cos(x)-\frac{1}{4}\ln{x}$

A curve is defined as $y=f\cdot g\cdot h\cdot m\cdot q$

The gradient of the curve at the point $(1,0)$ can be written in the form $-k\times10^{11}$

Evaluate $k$ to 3 significant figures.