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Mathematics 15 Online
OpenStudy (zenmo):

Differentiate

OpenStudy (zenmo):

\[y=e^{\tan \pi t}\]

hartnn (hartnn):

your attempt? needs chain rule

OpenStudy (zenmo):

Let u = tan pi t y = e^u \[y' = \frac{ d }{ du }(e^u) \times \frac{ d }{ dt }(\tan \pi t)\] \[y' = e^u \times \sec^2 \pi t \times \pi\] \[y ' = e^{\tan \pi t}\pi \sec^2 \pi t\]

OpenStudy (zenmo):

@hartnn is that correct?

hartnn (hartnn):

hi, sorry for late reply! and yes, thats correct :)

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