Given f(x)=ex2f(x) = e^{x^2}f(x)=ex2 and g(x)=arctan(x)g(x) = \arctan(x)g(x)=arctan(x), evaluate the derivative of the composition (f∘g)(x)(f \circ g)(x)(f∘g)(x) at x=1x = 1x=1.
eπ2/162\frac{e^{\pi^2/16}}{2}2eπ2/16
eπ2/164\frac{e^{\pi^2/16}}{4}4eπ2/16
πeπ2/168\frac{\pi e^{\pi^2/16}}{8}8πeπ2/16
πeπ2/164\frac{\pi e^{\pi^2/16}}{4}4πeπ2/16