Question

find the first and second derivatives of

(Ax^2+Bx+c)e^(3x)

should i distribute e^3x into the prenthesis? or is there an easy way....

b/c when i distribute it i get a long answer.....

for
i get
yp'=2Axe^3x+e^3xAx^2+Be^3x+e^3xBx+e^3x+ce^3x

is that correct...please help me....

thanks for ALLL YOUR generous help :)

Answer 1

You could distribute it or use the product rule. The result should be the same. It looks like you made a mistake differentiating e^3x. The answer should be 3 e^3x

Answer 2

o i see...thats correct...thanks so much...