Question

find the derivative of e^(2x) using the product rule

Answer 1

\[(f \prime) e ^{2x}\]

Answer 2

I know its 2e^(2x), but i'm not sure why. I know e^x is equal to its derivative but thats about it

Answer 3

the derivative of \[e^{f(x)}\]
is
\[e^{f(x)}*f'(x)\]

Answer 4

Do you know the derivative for \[f(x)=2x\]

Answer 5

its 2

Answer 6

Correct

Answer 7

And that makes sense I just didn't know the rule that you just used. Should be handy. Is it only good for e?

Answer 8

yes

Answer 9

Awesome thanks. Good to remember. I haven't explicitly been taught that, but i guess i was just suposed to figure it out since it said to use the product rule,which i have learned

Answer 10

oh duh i just figured out another way to look it as e^2x = e^x * e^x

Answer 11

The problem is that mj632 is using the chainrule but the question strickly says the use of the product rule.
Here e\[e ^{2x}=e ^{x}*e ^{x}\] and aplying the product rule you'll get
\[e ^{x}e ^{x}+e ^{x}e ^{x}=e ^{2x}+e ^{2x}=2e ^{2x}\]

Answer 12

awesome. thanks!

Answer 13

nice you figured it out yourself already:)

Answer 14

ha, that tends to happen. thanks though. Still gave ya a medal

Answer 15

haha no probs and thanks^^

Answer 16

Ah, sorry about that.