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Mathematics 53 Online
OpenStudy (lgbasallote):

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

OpenStudy (freckles):

Whats this mean?

OpenStudy (lgbasallote):

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

OpenStudy (freckles):

What is a LGBADERIVATIVE?

OpenStudy (lgbasallote):

derivative lol

OpenStudy (freckles):

Oh I would break it up And use log differentiation

OpenStudy (lgbasallote):

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

OpenStudy (freckles):

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

OpenStudy (anonymous):

Second will be: \[\huge cost(e^{sint})\]

OpenStudy (lgbasallote):

oops yeah that's what i meant

OpenStudy (freckles):

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

OpenStudy (lgbasallote):

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

OpenStudy (lgbasallote):

right?

OpenStudy (anonymous):

No first one is not..

OpenStudy (anonymous):

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

OpenStudy (lgbasallote):

oh argument is e^t

OpenStudy (lgbasallote):

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

OpenStudy (anonymous):

Now it is okay..

OpenStudy (lgbasallote):

wonderful

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