Quite a long one

Level pending

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.

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