Question

LGBADERIVATIVE:

\[\huge f(t) = \sin (e^t) + e^{\sin t}\]

Answer 1

Whats this mean?

Answer 2

i know the first term is \[e^t \cos (e^t)\]

Answer 3

What is a LGBADERIVATIVE?

Answer 4

derivative lol

Answer 5

Oh I would break it up
And use log differentiation

Answer 6

\[a = e^{\sin t}\]
\[\ln a = \sin t\]
\[a' = \sin t \cos t?\]

Answer 7

well for the first one we don't need log differentiation but the second one we do

Answer 8

Second will be:

\[\huge cost(e^{sint})\]

Answer 9

oops yeah that's what i meant

Answer 10

\[g=e^{\sin(t)}\]
\[\ln(g)=\ln(e^{\sin(t)})\]
Or you can use the short way whatever lol

Answer 11

\[\huge e^t \cos t + \cos t (e^{\sin t})\]

Answer 12

right?

Answer 13

No first one is not..

Answer 14

\[\huge e^t(cose^t)\]

Answer 15

oh argument is e^t

Answer 16

\[\huge e^t \cos (e^t) + \cos t(e^{\sin t})\]

Answer 17

Now it is okay..

Answer 18

wonderful