Question Bank [2022] — Maths STD 12 Science — Question
Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
If $y =\sin ^{-1}\left(2^x\right)$, find $\frac{ d y}{d x}$
✓
Answer
$ y =\sin ^{-1}\left(2^x\right)$
$\therefore \frac{ d y}{ d x}=\frac{ d }{ d x}\left[\sin ^{-1}\left(2^x\right)\right]$
$=\frac{1}{\sqrt{1-\left(2^x\right)^2}} \cdot \frac{ d }{ d x}\left(2^x\right)$
$=\frac{2^x \log 2}{\sqrt{1-\left(2^x\right)^2}}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.