1.

If \({\rm{y}} = {{\rm{e}}^{{{\rm{x}}^2}}}\sin 2{\rm{x}}\), then what is \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}}\) at x = π equal to?

A. \(\left( {1 + {\rm{\pi }}} \right){{\rm{e}}^{{{\rm{\pi }}^2}}}\)
B. \(2{\rm{\pi \;}}{{\rm{e}}^{{{\rm{\pi }}^2}}}\)
C. \(2{{\rm{e}}^{{{\rm{\pi }}^2}}}\)
D. \({{\rm{e}}^{{{\rm{\pi }}^2}}}\)
Answer» D. \({{\rm{e}}^{{{\rm{\pi }}^2}}}\)


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