Question

Determine the derivative of each of the following:
y=xe^3x

Answer 1

Product rule

Answer 2

I know but how

Answer 3

What's the derivative of e^(3x)?

Answer 4

Note product rule is \[f'g+g'f\]

Answer 5

the derivative of e^(3x) be 3

Answer 6

Remember \[\frac{ d }{ dx } e^x = e^x\]

Answer 7

So you're really applying the chain rule

Answer 8

\[\frac{ d }{ dx } e^{3x} = e^{3x} \times (3x)'\]

Answer 9

\[y'=x'(e^{3x})+(e^{3x})'x\] I don't want to do it all for you, but this is the product rule

Answer 10

I do believe that the chain rule is also involved here, since there is a function within a function.

Answer 11

so how are we goona do this question

Answer 12

Go over what I said, I even mentioned it requires chain rule

Answer 13

aha i see :o

Answer 14

oh you are confusing me know

Answer 15

just checking. basically, you're finding the derivative of ^3x. Carry on @Astrophysics :)

Answer 16

one is saying we need chain rule and other is saying no

Answer 17

You never replied lol, where are you stuck it's basically done already, and no, you need both product rule and chain rule. No one said anything about not using it :P

Answer 18

ok i goted

Answer 19

I'd be willing to type this out in a super clear manner, if you'd like. You sure you got it?