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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
Differentiate $y = e^{tanx} w.r.$ to $x$
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Answer

$ y = e ^{\tan x}$
$\therefore \frac{ d y}{ d x}=\frac{ d }{ d x}\left( e ^{\tan x}\right)$
$= e ^{\tan x} \cdot \frac{ d }{ d x}(\tan x)$
$= e ^{\tan x} \cdot \sec ^2 x$

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