Question

find the derivative of f(t)=sin(e^t)+e^(sint)

Answer 1

Hmm this is a fun one :) So are you comfortable taking the derivative of sine and cosine functions?
After that we'll have to apply the chain rule a couple times.

Answer 2

Yea, i have done the chain rule and product rule, I think I actually just simplified it, but it still looks kinda goofy to me

Answer 3

Ehh it was pretty goofy to begin with, so you might be on the right track ^^

Answer 4

and the sum rule

Answer 5

You said one thing that worried me though, because you won't be applying the product rule in this problem.

Answer 6

Why goofie? Its just once that you need to apply the chain rule.

Answer 7

Twice sorry

Answer 8

oh yea, no product, sorry, its all the e's ans sin's and that that looks goofie to me

Answer 9

what i get is e^(sint) (e^tcos(e^t)+sin(e^t)

Answer 10

Hmmm