What is the second derivative of $x e^{3 x}$ $xe^(3x)$ ?

Question

6736 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-02-22T17:18:44

The answer is: $y''=6e^(3x)+9xe^3x$

$y'=1*e^(3x)+x*e^(3x)*3=e^(3x)+3xe^(3x)$

$y''=e^(3x)*3+3(1*e^(3x)+x*e^(3x)*3)=$

$=3e^(3x)+3e^(3x)+9xe^(3x)=6e^(3x)+9xe^3x$ .

What is the second derivative of xe^(3x)xe3xxe^(3x)?