# 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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