UnkleRhaukus
  • UnkleRhaukus
\[D^6(x^3e^{ax})\] is there way to solve this problem that is simpler than taking the derivative 6 times
Mathematics
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UnkleRhaukus
  • UnkleRhaukus
\[D^6(x^3e^{ax})\] is there way to solve this problem that is simpler than taking the derivative 6 times
Mathematics
katieb
  • katieb
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UnkleRhaukus
  • UnkleRhaukus
simply*
Akshay_Budhkar
  • Akshay_Budhkar
Ew taking derivative 6 times sounds creepy!
UnkleRhaukus
  • UnkleRhaukus
yeah i got to the righ answer, after many hours of work

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UnkleRhaukus
  • UnkleRhaukus
but 13 lines is so many for such a simple looking question is there some way to solve it as a sixth order product or someting
Akshay_Budhkar
  • Akshay_Budhkar
i will go for differentiating it 6 times o_O? I don't think we can skip and differential by using some trick can we?
UnkleRhaukus
  • UnkleRhaukus
the answer \[(120+90ax+18a^2x^2+a^3x^3)a^3e^{ax}\] has numbers that kinda look like numbers you might find in the pascal triangle thing

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