Question

Please help me!
Differentiate:
1. y=sin(2x+sinx)
2. y=tan(e^x)

Answer 1

\[\large y=\sin(2x+sinx)\]
Hmmm, so the 2x+sinx is INSIDE the other sine function. So we don't have to worry about the product rule or anything like that. We will have the Chain Rule though, are you comfortable with the chain rule? :D

\[\large y'=\cos(2x+sinx)*(2x+sinx)'\]
The prime is to show that we still need to differentiate that part.

Answer 2

I know about the chain rule but am not completely comfortable with it.