1.

The tangent to the curve, \(y = x{{\rm{e}}^{{x^2}}}\) through the point (1, e) also passes through the point:

A. (2, 3e)
B. \(\left( {\frac{4}{3},2{\rm{e}}} \right)\)
C. \(\left( {\frac{5}{3},2{\rm{e}}} \right)\)
D. (3, 6e)
Answer» C. \(\left( {\frac{5}{3},2{\rm{e}}} \right)\)


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