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



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freckles
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Whats this mean?

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

freckles
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What is a LGBADERIVATIVE?

lgbasallote
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derivative lol

freckles
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Oh I would break it up
And use log differentiation

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

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

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

lgbasallote
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oops yeah that's what i meant

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

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

lgbasallote
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right?

waterineyes
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No first one is not..

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

lgbasallote
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oh argument is e^t

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

waterineyes
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Now it is okay..

lgbasallote
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wonderful