Question

derivative of 4e^e^x

Answer 1

4e^(x+e^x)

Answer 2

Chain rule.

Answer 3

\[4e^{e^x}\]

Answer 4

4e^(e^x)e^x

Answer 5

im confused now

Answer 6

For this problem, you are required to use chain rule, which is:
\[F'(x) = f'(g(x))g'(x)\] or \[\frac{ dy }{ dx } = \frac{ dy }{ du }\frac{ du }{ dx }\]

Answer 7

1. factor out the constant (4)
2. take the derivative of e (which is also like f(x)

3. take the derivative of the inside function ( which is like g(x))

where f(x) = e
and g(x) = e^x

Answer 8

oh i see now, so basically it stays the same?

Answer 9

Yes, but you have to also multiply it by the g(x) as you can see by the chain rule. So it kinda stays the sme but also looks slightly different.