Question

find and simplify d/dt [ t^3 e^-2t ].

Answer 1

answer [t^2 (-2t+3)] / [e^2t]

Answer 2

using the product rule;
derivative = t^3 * -2 e^-2t + 3t^2 *e^-2t
= t^2( -2t + 3)
-----------
e^2t

yup

Answer 3

agreed